# table of integer factorizations for $0

In addition to the factorizations of the first thousand positive integers, the following table also gives the values of the following functions: $\Omega(n)$, the number of (nondistinct) prime factors function; $\omega(n)$, the number of distinct prime factors function; the difference between the two $\Omega(n)-\omega(n)$ (with the heading $\Sigma^{a}$ for the sake of not making the table wider than necessary); $\lambda(n)$, the Liouville function; and $\mu(n)$, the Möbius function.

 $n$ Factorization $\Omega(n)$ $\omega(n)$ $\Sigma^{a}$ $\lambda(n)$ $\mu(n)$ 1 Unit 0 0 0 1 1 2 Prime 1 1 0 $-1$ $-1$ 3 Prime 1 1 0 $-1$ $-1$ 4 $2^{2}$ 2 1 1 1 0 5 Prime 1 1 0 $-1$ $-1$ 6 $2\cdot 3$ 2 2 0 1 1 7 Prime 1 1 0 $-1$ $-1$ 8 $2^{3}$ 3 1 2 $-1$ 0 9 $3^{2}$ 2 1 1 1 0 10 $2\cdot 5$ 2 2 0 1 1 11 Prime 1 1 0 $-1$ $-1$ 12 $2^{2}\cdot 3$ 3 2 1 $-1$ 0 13 Prime 1 1 0 $-1$ $-1$ 14 $2\cdot 7$ 2 2 0 1 1 15 $3\cdot 5$ 2 2 0 1 1 16 $2^{4}$ 4 1 3 1 0 17 Prime 1 1 0 $-1$ $-1$ 18 $2\cdot 3^{2}$ 3 2 1 $-1$ 0 19 Prime 1 1 0 $-1$ $-1$ 20 $2^{2}\cdot 5$ 3 2 1 $-1$ 0 21 $3\cdot 7$ 2 2 0 1 1 22 $2\cdot 11$ 2 2 0 1 1 23 Prime 1 1 0 $-1$ $-1$ 24 $2^{3}\cdot 3$ 4 2 2 1 0 25 $5^{2}$ 2 1 1 1 0 26 $2\cdot 13$ 2 2 0 1 1 27 $3^{3}$ 3 1 2 $-1$ 0 28 $2^{2}\cdot 7$ 3 2 1 $-1$ 0 29 Prime 1 1 0 $-1$ $-1$ 30 $2\cdot 3\cdot 5$ 3 3 0 $-1$ $-1$ 31 Prime 1 1 0 $-1$ $-1$ 32 $2^{5}$ 5 1 4 $-1$ 0 33 $3\cdot 11$ 2 2 0 1 1 34 $2\cdot 17$ 2 2 0 1 1 35 $5\cdot 7$ 2 2 0 1 1 36 $2^{2}\cdot 3^{2}$ 4 2 2 1 0 37 Prime 1 1 0 $-1$ $-1$ 38 $2\cdot 19$ 2 2 0 1 1 39 $3\cdot 13$ 2 2 0 1 1 40 $2^{3}\cdot 5$ 4 2 2 1 0 41 Prime 1 1 0 $-1$ $-1$ 42 $2\cdot 3\cdot 7$ 3 3 0 $-1$ $-1$ 43 Prime 1 1 0 $-1$ $-1$ 44 $2^{2}\cdot 11$ 3 2 1 $-1$ 0 45 $3^{2}\cdot 5$ 3 2 1 $-1$ 0 46 $2\cdot 23$ 2 2 0 1 1 47 Prime 1 1 0 $-1$ $-1$ 48 $2^{4}\cdot 3$ 5 2 3 $-1$ 0 49 $7^{2}$ 2 1 1 1 0 50 $2\cdot 5^{2}$ 3 2 1 $-1$ 0 51 $3\cdot 17$ 2 2 0 1 1 52 $2^{2}\cdot 13$ 3 2 1 $-1$ 0 53 Prime 1 1 0 $-1$ $-1$ 54 $2\cdot 3^{3}$ 4 2 2 1 0 55 $5\cdot 11$ 2 2 0 1 1 56 $2^{3}\cdot 7$ 4 2 2 1 0 57 $3\cdot 19$ 2 2 0 1 1 58 $2\cdot 29$ 2 2 0 1 1 59 Prime 1 1 0 $-1$ $-1$ 60 $2^{2}\cdot 3\cdot 5$ 4 3 1 1 0 61 Prime 1 1 0 $-1$ $-1$ 62 $2\cdot 31$ 2 2 0 1 1 63 $3^{2}\cdot 7$ 3 2 1 $-1$ 0 64 $2^{6}$ 6 1 5 1 0 65 $5\cdot 13$ 2 2 0 1 1 66 $2\cdot 3\cdot 11$ 3 3 0 $-1$ $-1$ 67 Prime 1 1 0 $-1$ $-1$ 68 $2^{2}\cdot 17$ 3 2 1 $-1$ 0 69 $3\cdot 23$ 2 2 0 1 1 70 $2\cdot 5\cdot 7$ 3 3 0 $-1$ $-1$ 71 Prime 1 1 0 $-1$ $-1$ 72 $2^{3}\cdot 3^{2}$ 5 2 3 $-1$ 0 73 Prime 1 1 0 $-1$ $-1$ 74 $2\cdot 37$ 2 2 0 1 1 75 $3\cdot 5^{2}$ 3 2 1 $-1$ 0 76 $2^{2}\cdot 19$ 3 2 1 $-1$ 0 77 $7\cdot 11$ 2 2 0 1 1 78 $2\cdot 3\cdot 13$ 3 3 0 $-1$ $-1$ 79 Prime 1 1 0 $-1$ $-1$ 80 $2^{4}\cdot 5$ 5 2 3 $-1$ 0 81 $3^{4}$ 4 1 3 1 0 82 $2\cdot 41$ 2 2 0 1 1 83 Prime 1 1 0 $-1$ $-1$ 84 $2^{2}\cdot 3\cdot 7$ 4 3 1 1 0 85 $5\cdot 17$ 2 2 0 1 1 86 $2\cdot 43$ 2 2 0 1 1 87 $3\cdot 29$ 2 2 0 1 1 88 $2^{3}\cdot 11$ 4 2 2 1 0 89 Prime 1 1 0 $-1$ $-1$ 90 $2\cdot 3^{2}\cdot 5$ 4 3 1 1 0 91 $7\cdot 13$ 2 2 0 1 1 92 $2^{2}\cdot 23$ 3 2 1 $-1$ 0 93 $3\cdot 31$ 2 2 0 1 1 94 $2\cdot 47$ 2 2 0 1 1 95 $5\cdot 19$ 2 2 0 1 1 96 $2^{5}\cdot 3$ 6 2 4 1 0 97 Prime 1 1 0 $-1$ $-1$ 98 $2\cdot 7^{2}$ 3 2 1 $-1$ 0 99 $3^{2}\cdot 11$ 3 2 1 $-1$ 0 100 $2^{2}\cdot 5^{2}$ 4 2 2 1 0 101 Prime 1 1 0 $-1$ $-1$ 102 $2\cdot 3\cdot 17$ 3 3 0 $-1$ $-1$ 103 Prime 1 1 0 $-1$ $-1$ 104 $2^{3}\cdot 13$ 4 2 2 1 0 105 $3\cdot 5\cdot 7$ 3 3 0 $-1$ $-1$ 106 $2\cdot 53$ 2 2 0 1 1 107 Prime 1 1 0 $-1$ $-1$ 108 $2^{2}\cdot 3^{3}$ 5 2 3 $-1$ 0 109 Prime 1 1 0 $-1$ $-1$ 110 $2\cdot 5\cdot 11$ 3 3 0 $-1$ $-1$ 111 $3\cdot 37$ 2 2 0 1 1 112 $2^{4}\cdot 7$ 5 2 3 $-1$ 0 113 Prime 1 1 0 $-1$ $-1$ 114 $2\cdot 3\cdot 19$ 3 3 0 $-1$ $-1$ 115 $5\cdot 23$ 2 2 0 1 1 116 $2^{2}\cdot 29$ 3 2 1 $-1$ 0 117 $3^{2}\cdot 13$ 3 2 1 $-1$ 0 118 $2\cdot 59$ 2 2 0 1 1 119 $7\cdot 17$ 2 2 0 1 1 120 $2^{3}\cdot 3\cdot 5$ 5 3 2 $-1$ 0 121 $11^{2}$ 2 1 1 1 0 122 $2\cdot 61$ 2 2 0 1 1 123 $3\cdot 41$ 2 2 0 1 1 124 $2^{2}\cdot 31$ 3 2 1 $-1$ 0 125 $5^{3}$ 3 1 2 $-1$ 0 126 $2\cdot 3^{2}\cdot 7$ 4 3 1 1 0 127 Prime 1 1 0 $-1$ $-1$ 128 $2^{7}$ 7 1 6 $-1$ 0 129 $3\cdot 43$ 2 2 0 1 1 130 $2\cdot 5\cdot 13$ 3 3 0 $-1$ $-1$ 131 Prime 1 1 0 $-1$ $-1$ 132 $2^{2}\cdot 3\cdot 11$ 4 3 1 1 0 133 $7\cdot 19$ 2 2 0 1 1 134 $2\cdot 67$ 2 2 0 1 1 135 $3^{3}\cdot 5$ 4 2 2 1 0 136 $2^{3}\cdot 17$ 4 2 2 1 0 137 Prime 1 1 0 $-1$ $-1$ 138 $2\cdot 3\cdot 23$ 3 3 0 $-1$ $-1$ 139 Prime 1 1 0 $-1$ $-1$ 140 $2^{2}\cdot 5\cdot 7$ 4 3 1 1 0 141 $3\cdot 47$ 2 2 0 1 1 142 $2\cdot 71$ 2 2 0 1 1 143 $11\cdot 13$ 2 2 0 1 1 144 $2^{4}\cdot 3^{2}$ 6 2 4 1 0 145 $5\cdot 29$ 2 2 0 1 1 146 $2\cdot 73$ 2 2 0 1 1 147 $3\cdot 7^{2}$ 3 2 1 $-1$ 0 148 $2^{2}\cdot 37$ 3 2 1 $-1$ 0 149 Prime 1 1 0 $-1$ $-1$ 150 $2\cdot 3\cdot 5^{2}$ 4 3 1 1 0 151 Prime 1 1 0 $-1$ $-1$ 152 $2^{3}\cdot 19$ 4 2 2 1 0 153 $3^{2}\cdot 17$ 3 2 1 $-1$ 0 154 $2\cdot 7\cdot 11$ 3 3 0 $-1$ $-1$ 155 $5\cdot 31$ 2 2 0 1 1 156 $2^{2}\cdot 3\cdot 13$ 4 3 1 1 0 157 Prime 1 1 0 $-1$ $-1$ 158 $2\cdot 79$ 2 2 0 1 1 159 $3\cdot 53$ 2 2 0 1 1 160 $2^{5}\cdot 5$ 6 2 4 1 0 161 $7\cdot 23$ 2 2 0 1 1 162 $2\cdot 3^{4}$ 5 2 3 $-1$ 0 163 Prime 1 1 0 $-1$ $-1$ 164 $2^{2}\cdot 41$ 3 2 1 $-1$ 0 165 $3\cdot 5\cdot 11$ 3 3 0 $-1$ $-1$ 166 $2\cdot 83$ 2 2 0 1 1 167 Prime 1 1 0 $-1$ $-1$ 168 $2^{3}\cdot 3\cdot 7$ 5 3 2 $-1$ 0 169 $13^{2}$ 2 1 1 1 0 170 $2\cdot 5\cdot 17$ 3 3 0 $-1$ $-1$ 171 $3^{2}\cdot 19$ 3 2 1 $-1$ 0 172 $2^{2}\cdot 43$ 3 2 1 $-1$ 0 173 Prime 1 1 0 $-1$ $-1$ 174 $2\cdot 3\cdot 29$ 3 3 0 $-1$ $-1$ 175 $5^{2}\cdot 7$ 3 2 1 $-1$ 0 176 $2^{4}\cdot 11$ 5 2 3 $-1$ 0 177 $3\cdot 59$ 2 2 0 1 1 178 $2\cdot 89$ 2 2 0 1 1 179 Prime 1 1 0 $-1$ $-1$ 180 $2^{2}\cdot 3^{2}\cdot 5$ 5 3 2 $-1$ 0 181 Prime 1 1 0 $-1$ $-1$ 182 $2\cdot 7\cdot 13$ 3 3 0 $-1$ $-1$ 183 $3\cdot 61$ 2 2 0 1 1 184 $2^{3}\cdot 23$ 4 2 2 1 0 185 $5\cdot 37$ 2 2 0 1 1 186 $2\cdot 3\cdot 31$ 3 3 0 $-1$ $-1$ 187 $11\cdot 17$ 2 2 0 1 1 188 $2^{2}\cdot 47$ 3 2 1 $-1$ 0 189 $3^{3}\cdot 7$ 4 2 2 1 0 190 $2\cdot 5\cdot 19$ 3 3 0 $-1$ $-1$ 191 Prime 1 1 0 $-1$ $-1$ 192 $2^{6}\cdot 3$ 7 2 5 $-1$ 0 193 Prime 1 1 0 $-1$ $-1$ 194 $2\cdot 97$ 2 2 0 1 1 195 $3\cdot 5\cdot 13$ 3 3 0 $-1$ $-1$ 196 $2^{2}\cdot 7^{2}$ 4 2 2 1 0 197 Prime 1 1 0 $-1$ $-1$ 198 $2\cdot 3^{2}\cdot 11$ 4 3 1 1 0 199 Prime 1 1 0 $-1$ $-1$ 200 $2^{3}\cdot 5^{2}$ 5 2 3 $-1$ 0 201 $3\cdot 67$ 2 2 0 1 1 202 $2\cdot 101$ 2 2 0 1 1 203 $7\cdot 29$ 2 2 0 1 1 204 $2^{2}\cdot 3\cdot 17$ 4 3 1 1 0 205 $5\cdot 41$ 2 2 0 1 1 206 $2\cdot 103$ 2 2 0 1 1 207 $3^{2}\cdot 23$ 3 2 1 $-1$ 0 208 $2^{4}\cdot 13$ 5 2 3 $-1$ 0 209 $11\cdot 19$ 2 2 0 1 1 210 $2\cdot 3\cdot 5\cdot 7$ 4 4 0 1 1 211 Prime 1 1 0 $-1$ $-1$ 212 $2^{2}\cdot 53$ 3 2 1 $-1$ 0 213 $3\cdot 71$ 2 2 0 1 1 214 $2\cdot 107$ 2 2 0 1 1 215 $5\cdot 43$ 2 2 0 1 1 216 $2^{3}\cdot 3^{3}$ 6 2 4 1 0 217 $7\cdot 31$ 2 2 0 1 1 218 $2\cdot 109$ 2 2 0 1 1 219 $3\cdot 73$ 2 2 0 1 1 220 $2^{2}\cdot 5\cdot 11$ 4 3 1 1 0 221 $13\cdot 17$ 2 2 0 1 1 222 $2\cdot 3\cdot 37$ 3 3 0 $-1$ $-1$ 223 Prime 1 1 0 $-1$ $-1$ 224 $2^{5}\cdot 7$ 6 2 4 1 0 225 $3^{2}\cdot 5^{2}$ 4 2 2 1 0 226 $2\cdot 113$ 2 2 0 1 1 227 Prime 1 1 0 $-1$ $-1$ 228 $2^{2}\cdot 3\cdot 19$ 4 3 1 1 0 229 Prime 1 1 0 $-1$ $-1$ 230 $2\cdot 5\cdot 23$ 3 3 0 $-1$ $-1$ 231 $3\cdot 7\cdot 11$ 3 3 0 $-1$ $-1$ 232 $2^{3}\cdot 29$ 4 2 2 1 0 233 Prime 1 1 0 $-1$ $-1$ 234 $2\cdot 3^{2}\cdot 13$ 4 3 1 1 0 235 $5\cdot 47$ 2 2 0 1 1 236 $2^{2}\cdot 59$ 3 2 1 $-1$ 0 237 $3\cdot 79$ 2 2 0 1 1 238 $2\cdot 7\cdot 17$ 3 3 0 $-1$ $-1$ 239 Prime 1 1 0 $-1$ $-1$ 240 $2^{4}\cdot 3\cdot 5$ 6 3 3 1 0 241 Prime 1 1 0 $-1$ $-1$ 242 $2\cdot 11^{2}$ 3 2 1 $-1$ 0 243 $3^{5}$ 5 1 4 $-1$ 0 244 $2^{2}\cdot 61$ 3 2 1 $-1$ 0 245 $5\cdot 7^{2}$ 3 2 1 $-1$ 0 246 $2\cdot 3\cdot 41$ 3 3 0 $-1$ $-1$ 247 $13\cdot 19$ 2 2 0 1 1 248 $2^{3}\cdot 31$ 4 2 2 1 0 249 $3\cdot 83$ 2 2 0 1 1 250 $2\cdot 5^{3}$ 4 2 2 1 0 251 Prime 1 1 0 $-1$ $-1$ 252 $2^{2}\cdot 3^{2}\cdot 7$ 5 3 2 $-1$ 0 253 $11\cdot 23$ 2 2 0 1 1 254 $2\cdot 127$ 2 2 0 1 1 255 $3\cdot 5\cdot 17$ 3 3 0 $-1$ $-1$ 256 $2^{8}$ 8 1 7 1 0 257 Prime 1 1 0 $-1$ $-1$ 258 $2\cdot 3\cdot 43$ 3 3 0 $-1$ $-1$ 259 $7\cdot 37$ 2 2 0 1 1 260 $2^{2}\cdot 5\cdot 13$ 4 3 1 1 0 261 $3^{2}\cdot 29$ 3 2 1 $-1$ 0 262 $2\cdot 131$ 2 2 0 1 1 263 Prime 1 1 0 $-1$ $-1$ 264 $2^{3}\cdot 3\cdot 11$ 5 3 2 $-1$ 0 265 $5\cdot 53$ 2 2 0 1 1 266 $2\cdot 7\cdot 19$ 3 3 0 $-1$ $-1$ 267 $3\cdot 89$ 2 2 0 1 1 268 $2^{2}\cdot 67$ 3 2 1 $-1$ 0 269 Prime 1 1 0 $-1$ $-1$ 270 $2\cdot 3^{3}\cdot 5$ 5 3 2 $-1$ 0 271 Prime 1 1 0 $-1$ $-1$ 272 $2^{4}\cdot 17$ 5 2 3 $-1$ 0 273 $3\cdot 7\cdot 13$ 3 3 0 $-1$ $-1$ 274 $2\cdot 137$ 2 2 0 1 1 275 $5^{2}\cdot 11$ 3 2 1 $-1$ 0 276 $2^{2}\cdot 3\cdot 23$ 4 3 1 1 0 277 Prime 1 1 0 $-1$ $-1$ 278 $2\cdot 139$ 2 2 0 1 1 279 $3^{2}\cdot 31$ 3 2 1 $-1$ 0 280 $2^{3}\cdot 5\cdot 7$ 5 3 2 $-1$ 0 281 Prime 1 1 0 $-1$ $-1$ 282 $2\cdot 3\cdot 47$ 3 3 0 $-1$ $-1$ 283 Prime 1 1 0 $-1$ $-1$ 284 $2^{2}\cdot 71$ 3 2 1 $-1$ 0 285 $3\cdot 5\cdot 19$ 3 3 0 $-1$ $-1$ 286 $2\cdot 11\cdot 13$ 3 3 0 $-1$ $-1$ 287 $7\cdot 41$ 2 2 0 1 1 288 $2^{5}\cdot 3^{2}$ 7 2 5 $-1$ 0 289 $17^{2}$ 2 1 1 1 0 290 $2\cdot 5\cdot 29$ 3 3 0 $-1$ $-1$ 291 $3\cdot 97$ 2 2 0 1 1 292 $2^{2}\cdot 73$ 3 2 1 $-1$ 0 293 Prime 1 1 0 $-1$ $-1$ 294 $2\cdot 3\cdot 7^{2}$ 4 3 1 1 0 295 $5\cdot 59$ 2 2 0 1 1 296 $2^{3}\cdot 37$ 4 2 2 1 0 297 $3^{3}\cdot 11$ 4 2 2 1 0 298 $2\cdot 149$ 2 2 0 1 1 299 $13\cdot 23$ 2 2 0 1 1 300 $2^{2}\cdot 3\cdot 5^{2}$ 5 3 2 $-1$ 0 301 $7\cdot 43$ 2 2 0 1 1 302 $2\cdot 151$ 2 2 0 1 1 303 $3\cdot 101$ 2 2 0 1 1 304 $2^{4}\cdot 19$ 5 2 3 $-1$ 0 305 $5\cdot 61$ 2 2 0 1 1 306 $2\cdot 3^{2}\cdot 17$ 4 3 1 1 0 307 Prime 1 1 0 $-1$ $-1$ 308 $2^{2}\cdot 7\cdot 11$ 4 3 1 1 0 309 $3\cdot 103$ 2 2 0 1 1 310 $2\cdot 5\cdot 31$ 3 3 0 $-1$ $-1$ 311 Prime 1 1 0 $-1$ $-1$ 312 $2^{3}\cdot 3\cdot 13$ 5 3 2 $-1$ 0 313 Prime 1 1 0 $-1$ $-1$ 314 $2\cdot 157$ 2 2 0 1 1 315 $3^{2}\cdot 5\cdot 7$ 4 3 1 1 0 316 $2^{2}\cdot 79$ 3 2 1 $-1$ 0 317 Prime 1 1 0 $-1$ $-1$ 318 $2\cdot 3\cdot 53$ 3 3 0 $-1$ $-1$ 319 $11\cdot 29$ 2 2 0 1 1 320 $2^{6}\cdot 5$ 7 2 5 $-1$ 0 321 $3\cdot 107$ 2 2 0 1 1 322 $2\cdot 7\cdot 23$ 3 3 0 $-1$ $-1$ 323 $17\cdot 19$ 2 2 0 1 1 324 $2^{2}\cdot 3^{4}$ 6 2 4 1 0 325 $5^{2}\cdot 13$ 3 2 1 $-1$ 0 326 $2\cdot 163$ 2 2 0 1 1 327 $3\cdot 109$ 2 2 0 1 1 328 $2^{3}\cdot 41$ 4 2 2 1 0 329 $7\cdot 47$ 2 2 0 1 1 330 $2\cdot 3\cdot 5\cdot 11$ 4 4 0 1 1 331 Prime 1 1 0 $-1$ $-1$ 332 $2^{2}\cdot 83$ 3 2 1 $-1$ 0 333 $3^{2}\cdot 37$ 3 2 1 $-1$ 0 334 $2\cdot 167$ 2 2 0 1 1 335 $5\cdot 67$ 2 2 0 1 1 336 $2^{4}\cdot 3\cdot 7$ 6 3 3 1 0 337 Prime 1 1 0 $-1$ $-1$ 338 $2\cdot 13^{2}$ 3 2 1 $-1$ 0 339 $3\cdot 113$ 2 2 0 1 1 340 $2^{2}\cdot 5\cdot 17$ 4 3 1 1 0 341 $11\cdot 31$ 2 2 0 1 1 342 $2\cdot 3^{2}\cdot 19$ 4 3 1 1 0 343 $7^{3}$ 3 1 2 $-1$ 0 344 $2^{3}\cdot 43$ 4 2 2 1 0 345 $3\cdot 5\cdot 23$ 3 3 0 $-1$ $-1$ 346 $2\cdot 173$ 2 2 0 1 1 347 Prime 1 1 0 $-1$ $-1$ 348 $2^{2}\cdot 3\cdot 29$ 4 3 1 1 0 349 Prime 1 1 0 $-1$ $-1$ 350 $2\cdot 5^{2}\cdot 7$ 4 3 1 1 0 351 $3^{3}\cdot 13$ 4 2 2 1 0 352 $2^{5}\cdot 11$ 6 2 4 1 0 353 Prime 1 1 0 $-1$ $-1$ 354 $2\cdot 3\cdot 59$ 3 3 0 $-1$ $-1$ 355 $5\cdot 71$ 2 2 0 1 1 356 $2^{2}\cdot 89$ 3 2 1 $-1$ 0 357 $3\cdot 7\cdot 17$ 3 3 0 $-1$ $-1$ 358 $2\cdot 179$ 2 2 0 1 1 359 Prime 1 1 0 $-1$ $-1$ 360 $2^{3}\cdot 3^{2}\cdot 5$ 6 3 3 1 0 361 $19^{2}$ 2 1 1 1 0 362 $2\cdot 181$ 2 2 0 1 1 363 $3\cdot 11^{2}$ 3 2 1 $-1$ 0 364 $2^{2}\cdot 7\cdot 13$ 4 3 1 1 0 365 $5\cdot 73$ 2 2 0 1 1 366 $2\cdot 3\cdot 61$ 3 3 0 $-1$ $-1$ 367 Prime 1 1 0 $-1$ $-1$ 368 $2^{4}\cdot 23$ 5 2 3 $-1$ 0 369 $3^{2}\cdot 41$ 3 2 1 $-1$ 0 370 $2\cdot 5\cdot 37$ 3 3 0 $-1$ $-1$ 371 $7\cdot 53$ 2 2 0 1 1 372 $2^{2}\cdot 3\cdot 31$ 4 3 1 1 0 373 Prime 1 1 0 $-1$ $-1$ 374 $2\cdot 11\cdot 17$ 3 3 0 $-1$ $-1$ 375 $3\cdot 5^{3}$ 4 2 2 1 0 376 $2^{3}\cdot 47$ 4 2 2 1 0 377 $13\cdot 29$ 2 2 0 1 1 378 $2\cdot 3^{3}\cdot 7$ 5 3 2 $-1$ 0 379 Prime 1 1 0 $-1$ $-1$ 380 $2^{2}\cdot 5\cdot 19$ 4 3 1 1 0 381 $3\cdot 127$ 2 2 0 1 1 382 $2\cdot 191$ 2 2 0 1 1 383 Prime 1 1 0 $-1$ $-1$ 384 $2^{7}\cdot 3$ 8 2 6 1 0 385 $5\cdot 7\cdot 11$ 3 3 0 $-1$ $-1$ 386 $2\cdot 193$ 2 2 0 1 1 387 $3^{2}\cdot 43$ 3 2 1 $-1$ 0 388 $2^{2}\cdot 97$ 3 2 1 $-1$ 0 389 Prime 1 1 0 $-1$ $-1$ 390 $2\cdot 3\cdot 5\cdot 13$ 4 4 0 1 1 391 $17\cdot 23$ 2 2 0 1 1 392 $2^{3}\cdot 7^{2}$ 5 2 3 $-1$ 0 393 $3\cdot 131$ 2 2 0 1 1 394 $2\cdot 197$ 2 2 0 1 1 395 $5\cdot 79$ 2 2 0 1 1 396 $2^{2}\cdot 3^{2}\cdot 11$ 5 3 2 $-1$ 0 397 Prime 1 1 0 $-1$ $-1$ 398 $2\cdot 199$ 2 2 0 1 1 399 $3\cdot 7\cdot 19$ 3 3 0 $-1$ $-1$ 400 $2^{4}\cdot 5^{2}$ 6 2 4 1 0 401 Prime 1 1 0 $-1$ $-1$ 402 $2\cdot 3\cdot 67$ 3 3 0 $-1$ $-1$ 403 $13\cdot 31$ 2 2 0 1 1 404 $2^{2}\cdot 101$ 3 2 1 $-1$ 0 405 $3^{4}\cdot 5$ 5 2 3 $-1$ 0 406 $2\cdot 7\cdot 29$ 3 3 0 $-1$ $-1$ 407 $11\cdot 37$ 2 2 0 1 1 408 $2^{3}\cdot 3\cdot 17$ 5 3 2 $-1$ 0 409 Prime 1 1 0 $-1$ $-1$ 410 $2\cdot 5\cdot 41$ 3 3 0 $-1$ $-1$ 411 $3\cdot 137$ 2 2 0 1 1 412 $2^{2}\cdot 103$ 3 2 1 $-1$ 0 413 $7\cdot 59$ 2 2 0 1 1 414 $2\cdot 3^{2}\cdot 23$ 4 3 1 1 0 415 $5\cdot 83$ 2 2 0 1 1 416 $2^{5}\cdot 13$ 6 2 4 1 0 417 $3\cdot 139$ 2 2 0 1 1 418 $2\cdot 11\cdot 19$ 3 3 0 $-1$ $-1$ 419 Prime 1 1 0 $-1$ $-1$ 420 $2^{2}\cdot 3\cdot 5\cdot 7$ 5 4 1 $-1$ 0 421 Prime 1 1 0 $-1$ $-1$ 422 $2\cdot 211$ 2 2 0 1 1 423 $3^{2}\cdot 47$ 3 2 1 $-1$ 0 424 $2^{3}\cdot 53$ 4 2 2 1 0 425 $5^{2}\cdot 17$ 3 2 1 $-1$ 0 426 $2\cdot 3\cdot 71$ 3 3 0 $-1$ $-1$ 427 $7\cdot 61$ 2 2 0 1 1 428 $2^{2}\cdot 107$ 3 2 1 $-1$ 0 429 $3\cdot 11\cdot 13$ 3 3 0 $-1$ $-1$ 430 $2\cdot 5\cdot 43$ 3 3 0 $-1$ $-1$ 431 Prime 1 1 0 $-1$ $-1$ 432 $2^{4}\cdot 3^{3}$ 7 2 5 $-1$ 0 433 Prime 1 1 0 $-1$ $-1$ 434 $2\cdot 7\cdot 31$ 3 3 0 $-1$ $-1$ 435 $3\cdot 5\cdot 29$ 3 3 0 $-1$ $-1$ 436 $2^{2}\cdot 109$ 3 2 1 $-1$ 0 437 $19\cdot 23$ 2 2 0 1 1 438 $2\cdot 3\cdot 73$ 3 3 0 $-1$ $-1$ 439 Prime 1 1 0 $-1$ $-1$ 440 $2^{3}\cdot 5\cdot 11$ 5 3 2 $-1$ 0 441 $3^{2}\cdot 7^{2}$ 4 2 2 1 0 442 $2\cdot 13\cdot 17$ 3 3 0 $-1$ $-1$ 443 Prime 1 1 0 $-1$ $-1$ 444 $2^{2}\cdot 3\cdot 37$ 4 3 1 1 0 445 $5\cdot 89$ 2 2 0 1 1 446 $2\cdot 223$ 2 2 0 1 1 447 $3\cdot 149$ 2 2 0 1 1 448 $2^{6}\cdot 7$ 7 2 5 $-1$ 0 449 Prime 1 1 0 $-1$ $-1$ 450 $2\cdot 3^{2}\cdot 5^{2}$ 5 3 2 $-1$ 0 451 $11\cdot 41$ 2 2 0 1 1 452 $2^{2}\cdot 113$ 3 2 1 $-1$ 0 453 $3\cdot 151$ 2 2 0 1 1 454 $2\cdot 227$ 2 2 0 1 1 455 $5\cdot 7\cdot 13$ 3 3 0 $-1$ $-1$ 456 $2^{3}\cdot 3\cdot 19$ 5 3 2 $-1$ 0 457 Prime 1 1 0 $-1$ $-1$ 458 $2\cdot 229$ 2 2 0 1 1 459 $3^{3}\cdot 17$ 4 2 2 1 0 460 $2^{2}\cdot 5\cdot 23$ 4 3 1 1 0 461 Prime 1 1 0 $-1$ $-1$ 462 $2\cdot 3\cdot 7\cdot 11$ 4 4 0 1 1 463 Prime 1 1 0 $-1$ $-1$ 464 $2^{4}\cdot 29$ 5 2 3 $-1$ 0 465 $3\cdot 5\cdot 31$ 3 3 0 $-1$ $-1$ 466 $2\cdot 233$ 2 2 0 1 1 467 Prime 1 1 0 $-1$ $-1$ 468 $2^{2}\cdot 3^{2}\cdot 13$ 5 3 2 $-1$ 0 469 $7\cdot 67$ 2 2 0 1 1 470 $2\cdot 5\cdot 47$ 3 3 0 $-1$ $-1$ 471 $3\cdot 157$ 2 2 0 1 1 472 $2^{3}\cdot 59$ 4 2 2 1 0 473 $11\cdot 43$ 2 2 0 1 1 474 $2\cdot 3\cdot 79$ 3 3 0 $-1$ $-1$ 475 $5^{2}\cdot 19$ 3 2 1 $-1$ 0 476 $2^{2}\cdot 7\cdot 17$ 4 3 1 1 0 477 $3^{2}\cdot 53$ 3 2 1 $-1$ 0 478 $2\cdot 239$ 2 2 0 1 1 479 Prime 1 1 0 $-1$ $-1$ 480 $2^{5}\cdot 3\cdot 5$ 7 3 4 $-1$ 0 481 $13\cdot 37$ 2 2 0 1 1 482 $2\cdot 241$ 2 2 0 1 1 483 $3\cdot 7\cdot 23$ 3 3 0 $-1$ $-1$ 484 $2^{2}\cdot 11^{2}$ 4 2 2 1 0 485 $5\cdot 97$ 2 2 0 1 1 486 $2\cdot 3^{5}$ 6 2 4 1 0 487 Prime 1 1 0 $-1$ $-1$ 488 $2^{3}\cdot 61$ 4 2 2 1 0 489 $3\cdot 163$ 2 2 0 1 1 490 $2\cdot 5\cdot 7^{2}$ 4 3 1 1 0 491 Prime 1 1 0 $-1$ $-1$ 492 $2^{2}\cdot 3\cdot 41$ 4 3 1 1 0 493 $17\cdot 29$ 2 2 0 1 1 494 $2\cdot 13\cdot 19$ 3 3 0 $-1$ $-1$ 495 $3^{2}\cdot 5\cdot 11$ 4 3 1 1 0 496 $2^{4}\cdot 31$ 5 2 3 $-1$ 0 497 $7\cdot 71$ 2 2 0 1 1 498 $2\cdot 3\cdot 83$ 3 3 0 $-1$ $-1$ 499 Prime 1 1 0 $-1$ $-1$ 500 $2^{2}\cdot 5^{3}$ 5 2 3 $-1$ 0 501 $3\cdot 167$ 2 2 0 1 1 502 $2\cdot 251$ 2 2 0 1 1 503 Prime 1 1 0 $-1$ $-1$ 504 $2^{3}\cdot 3^{2}\cdot 7$ 6 3 3 1 0 505 $5\cdot 101$ 2 2 0 1 1 506 $2\cdot 11\cdot 23$ 3 3 0 $-1$ $-1$ 507 $3\cdot 13^{2}$ 3 2 1 $-1$ 0 508 $2^{2}\cdot 127$ 3 2 1 $-1$ 0 509 Prime 1 1 0 $-1$ $-1$ 510 $2\cdot 3\cdot 5\cdot 17$ 4 4 0 1 1 511 $7\cdot 73$ 2 2 0 1 1 512 $2^{9}$ 9 1 8 $-1$ 0 513 $3^{3}\cdot 19$ 4 2 2 1 0 514 $2\cdot 257$ 2 2 0 1 1 515 $5\cdot 103$ 2 2 0 1 1 516 $2^{2}\cdot 3\cdot 43$ 4 3 1 1 0 517 $11\cdot 47$ 2 2 0 1 1 518 $2\cdot 7\cdot 37$ 3 3 0 $-1$ $-1$ 519 $3\cdot 173$ 2 2 0 1 1 520 $2^{3}\cdot 5\cdot 13$ 5 3 2 $-1$ 0 521 Prime 1 1 0 $-1$ $-1$ 522 $2\cdot 3^{2}\cdot 29$ 4 3 1 1 0 523 Prime 1 1 0 $-1$ $-1$ 524 $2^{2}\cdot 131$ 3 2 1 $-1$ 0 525 $3\cdot 5^{2}\cdot 7$ 4 3 1 1 0 526 $2\cdot 263$ 2 2 0 1 1 527 $17\cdot 31$ 2 2 0 1 1 528 $2^{4}\cdot 3\cdot 11$ 6 3 3 1 0 529 $23^{2}$ 2 1 1 1 0 530 $2\cdot 5\cdot 53$ 3 3 0 $-1$ $-1$ 531 $3^{2}\cdot 59$ 3 2 1 $-1$ 0 532 $2^{2}\cdot 7\cdot 19$ 4 3 1 1 0 533 $13\cdot 41$ 2 2 0 1 1 534 $2\cdot 3\cdot 89$ 3 3 0 $-1$ $-1$ 535 $5\cdot 107$ 2 2 0 1 1 536 $2^{3}\cdot 67$ 4 2 2 1 0 537 $3\cdot 179$ 2 2 0 1 1 538 $2\cdot 269$ 2 2 0 1 1 539 $7^{2}\cdot 11$ 3 2 1 $-1$ 0 540 $2^{2}\cdot 3^{3}\cdot 5$ 6 3 3 1 0 541 Prime 1 1 0 $-1$ $-1$ 542 $2\cdot 271$ 2 2 0 1 1 543 $3\cdot 181$ 2 2 0 1 1 544 $2^{5}\cdot 17$ 6 2 4 1 0 545 $5\cdot 109$ 2 2 0 1 1 546 $2\cdot 3\cdot 7\cdot 13$ 4 4 0 1 1 547 Prime 1 1 0 $-1$ $-1$ 548 $2^{2}\cdot 137$ 3 2 1 $-1$ 0 549 $3^{2}\cdot 61$ 3 2 1 $-1$ 0 550 $2\cdot 5^{2}\cdot 11$ 4 3 1 1 0 551 $19\cdot 29$ 2 2 0 1 1 552 $2^{3}\cdot 3\cdot 23$ 5 3 2 $-1$ 0 553 $7\cdot 79$ 2 2 0 1 1 554 $2\cdot 277$ 2 2 0 1 1 555 $3\cdot 5\cdot 37$ 3 3 0 $-1$ $-1$ 556 $2^{2}\cdot 139$ 3 2 1 $-1$ 0 557 Prime 1 1 0 $-1$ $-1$ 558 $2\cdot 3^{2}\cdot 31$ 4 3 1 1 0 559 $13\cdot 43$ 2 2 0 1 1 560 $2^{4}\cdot 5\cdot 7$ 6 3 3 1 0 561 $3\cdot 11\cdot 17$ 3 3 0 $-1$ $-1$ 562 $2\cdot 281$ 2 2 0 1 1 563 Prime 1 1 0 $-1$ $-1$ 564 $2^{2}\cdot 3\cdot 47$ 4 3 1 1 0 565 $5\cdot 113$ 2 2 0 1 1 566 $2\cdot 283$ 2 2 0 1 1 567 $3^{4}\cdot 7$ 5 2 3 $-1$ 0 568 $2^{3}\cdot 71$ 4 2 2 1 0 569 Prime 1 1 0 $-1$ $-1$ 570 $2\cdot 3\cdot 5\cdot 19$ 4 4 0 1 1 571 Prime 1 1 0 $-1$ $-1$ 572 $2^{2}\cdot 11\cdot 13$ 4 3 1 1 0 573 $3\cdot 191$ 2 2 0 1 1 574 $2\cdot 7\cdot 41$ 3 3 0 $-1$ $-1$ 575 $5^{2}\cdot 23$ 3 2 1 $-1$ 0 576 $2^{6}\cdot 3^{2}$ 8 2 6 1 0 577 Prime 1 1 0 $-1$ $-1$ 578 $2\cdot 17^{2}$ 3 2 1 $-1$ 0 579 $3\cdot 193$ 2 2 0 1 1 580 $2^{2}\cdot 5\cdot 29$ 4 3 1 1 0 581 $7\cdot 83$ 2 2 0 1 1 582 $2\cdot 3\cdot 97$ 3 3 0 $-1$ $-1$ 583 $11\cdot 53$ 2 2 0 1 1 584 $2^{3}\cdot 73$ 4 2 2 1 0 585 $3^{2}\cdot 5\cdot 13$ 4 3 1 1 0 586 $2\cdot 293$ 2 2 0 1 1 587 Prime 1 1 0 $-1$ $-1$ 588 $2^{2}\cdot 3\cdot 7^{2}$ 5 3 2 $-1$ 0 589 $19\cdot 31$ 2 2 0 1 1 590 $2\cdot 5\cdot 59$ 3 3 0 $-1$ $-1$ 591 $3\cdot 197$ 2 2 0 1 1 592 $2^{4}\cdot 37$ 5 2 3 $-1$ 0 593 Prime 1 1 0 $-1$ $-1$ 594 $2\cdot 3^{3}\cdot 11$ 5 3 2 $-1$ 0 595 $5\cdot 7\cdot 17$ 3 3 0 $-1$ $-1$ 596 $2^{2}\cdot 149$ 3 2 1 $-1$ 0 597 $3\cdot 199$ 2 2 0 1 1 598 $2\cdot 13\cdot 23$ 3 3 0 $-1$ $-1$ 599 Prime 1 1 0 $-1$ $-1$ 600 $2^{3}\cdot 3\cdot 5^{2}$ 6 3 3 1 0 601 Prime 1 1 0 $-1$ $-1$ 602 $2\cdot 7\cdot 43$ 3 3 0 $-1$ $-1$ 603 $3^{2}\cdot 67$ 3 2 1 $-1$ 0 604 $2^{2}\cdot 151$ 3 2 1 $-1$ 0 605 $5\cdot 11^{2}$ 3 2 1 $-1$ 0 606 $2\cdot 3\cdot 101$ 3 3 0 $-1$ $-1$ 607 Prime 1 1 0 $-1$ $-1$ 608 $2^{5}\cdot 19$ 6 2 4 1 0 609 $3\cdot 7\cdot 29$ 3 3 0 $-1$ $-1$ 610 $2\cdot 5\cdot 61$ 3 3 0 $-1$ $-1$ 611 $13\cdot 47$ 2 2 0 1 1 612 $2^{2}\cdot 3^{2}\cdot 17$ 5 3 2 $-1$ 0 613 Prime 1 1 0 $-1$ $-1$ 614 $2\cdot 307$ 2 2 0 1 1 615 $3\cdot 5\cdot 41$ 3 3 0 $-1$ $-1$ 616 $2^{3}\cdot 7\cdot 11$ 5 3 2 $-1$ 0 617 Prime 1 1 0 $-1$ $-1$ 618 $2\cdot 3\cdot 103$ 3 3 0 $-1$ $-1$ 619 Prime 1 1 0 $-1$ $-1$ 620 $2^{2}\cdot 5\cdot 31$ 4 3 1 1 0 621 $3^{3}\cdot 23$ 4 2 2 1 0 622 $2\cdot 311$ 2 2 0 1 1 623 $7\cdot 89$ 2 2 0 1 1 624 $2^{4}\cdot 3\cdot 13$ 6 3 3 1 0 625 $5^{4}$ 4 1 3 1 0 626 $2\cdot 313$ 2 2 0 1 1 627 $3\cdot 11\cdot 19$ 3 3 0 $-1$ $-1$ 628 $2^{2}\cdot 157$ 3 2 1 $-1$ 0 629 $17\cdot 37$ 2 2 0 1 1 630 $2\cdot 3^{2}\cdot 5\cdot 7$ 5 4 1 $-1$ 0 631 Prime 1 1 0 $-1$ $-1$ 632 $2^{3}\cdot 79$ 4 2 2 1 0 633 $3\cdot 211$ 2 2 0 1 1 634 $2\cdot 317$ 2 2 0 1 1 635 $5\cdot 127$ 2 2 0 1 1 636 $2^{2}\cdot 3\cdot 53$ 4 3 1 1 0 637 $7^{2}\cdot 13$ 3 2 1 $-1$ 0 638 $2\cdot 11\cdot 29$ 3 3 0 $-1$ $-1$ 639 $3^{2}\cdot 71$ 3 2 1 $-1$ 0 640 $2^{7}\cdot 5$ 8 2 6 1 0 641 Prime 1 1 0 $-1$ $-1$ 642 $2\cdot 3\cdot 107$ 3 3 0 $-1$ $-1$ 643 Prime 1 1 0 $-1$ $-1$ 644 $2^{2}\cdot 7\cdot 23$ 4 3 1 1 0 645 $3\cdot 5\cdot 43$ 3 3 0 $-1$ $-1$ 646 $2\cdot 17\cdot 19$ 3 3 0 $-1$ $-1$ 647 Prime 1 1 0 $-1$ $-1$ 648 $2^{3}\cdot 3^{4}$ 7 2 5 $-1$ 0 649 $11\cdot 59$ 2 2 0 1 1 650 $2\cdot 5^{2}\cdot 13$ 4 3 1 1 0 651 $3\cdot 7\cdot 31$ 3 3 0 $-1$ $-1$ 652 $2^{2}\cdot 163$ 3 2 1 $-1$ 0 653 Prime 1 1 0 $-1$ $-1$ 654 $2\cdot 3\cdot 109$ 3 3 0 $-1$ $-1$ 655 $5\cdot 131$ 2 2 0 1 1 656 $2^{4}\cdot 41$ 5 2 3 $-1$ 0 657 $3^{2}\cdot 73$ 3 2 1 $-1$ 0 658 $2\cdot 7\cdot 47$ 3 3 0 $-1$ $-1$ 659 Prime 1 1 0 $-1$ $-1$ 660 $2^{2}\cdot 3\cdot 5\cdot 11$ 5 4 1 $-1$ 0 661 Prime 1 1 0 $-1$ $-1$ 662 $2\cdot 331$ 2 2 0 1 1 663 $3\cdot 13\cdot 17$ 3 3 0 $-1$ $-1$ 664 $2^{3}\cdot 83$ 4 2 2 1 0 665 $5\cdot 7\cdot 19$ 3 3 0 $-1$ $-1$ 666 $2\cdot 3^{2}\cdot 37$ 4 3 1 1 0 667 $23\cdot 29$ 2 2 0 1 1 668 $2^{2}\cdot 167$ 3 2 1 $-1$ 0 669 $3\cdot 223$ 2 2 0 1 1 670 $2\cdot 5\cdot 67$ 3 3 0 $-1$ $-1$ 671 $11\cdot 61$ 2 2 0 1 1 672 $2^{5}\cdot 3\cdot 7$ 7 3 4 $-1$ 0 673 Prime 1 1 0 $-1$ $-1$ 674 $2\cdot 337$ 2 2 0 1 1 675 $3^{3}\cdot 5^{2}$ 5 2 3 $-1$ 0 676 $2^{2}\cdot 13^{2}$ 4 2 2 1 0 677 Prime 1 1 0 $-1$ $-1$ 678 $2\cdot 3\cdot 113$ 3 3 0 $-1$ $-1$ 679 $7\cdot 97$ 2 2 0 1 1 680 $2^{3}\cdot 5\cdot 17$ 5 3 2 $-1$ 0 681 $3\cdot 227$ 2 2 0 1 1 682 $2\cdot 11\cdot 31$ 3 3 0 $-1$ $-1$ 683 Prime 1 1 0 $-1$ $-1$ 684 $2^{2}\cdot 3^{2}\cdot 19$ 5 3 2 $-1$ 0 685 $5\cdot 137$ 2 2 0 1 1 686 $2\cdot 7^{3}$ 4 2 2 1 0 687 $3\cdot 229$ 2 2 0 1 1 688 $2^{4}\cdot 43$ 5 2 3 $-1$ 0 689 $13\cdot 53$ 2 2 0 1 1 690 $2\cdot 3\cdot 5\cdot 23$ 4 4 0 1 1 691 Prime 1 1 0 $-1$ $-1$ 692 $2^{2}\cdot 173$ 3 2 1 $-1$ 0 693 $3^{2}\cdot 7\cdot 11$ 4 3 1 1 0 694 $2\cdot 347$ 2 2 0 1 1 695 $5\cdot 139$ 2 2 0 1 1 696 $2^{3}\cdot 3\cdot 29$ 5 3 2 $-1$ 0 697 $17\cdot 41$ 2 2 0 1 1 698 $2\cdot 349$ 2 2 0 1 1 699 $3\cdot 233$ 2 2 0 1 1 700 $2^{2}\cdot 5^{2}\cdot 7$ 5 3 2 $-1$ 0 701 Prime 1 1 0 $-1$ $-1$ 702 $2\cdot 3^{3}\cdot 13$ 5 3 2 $-1$ 0 703 $19\cdot 37$ 2 2 0 1 1 704 $2^{6}\cdot 11$ 7 2 5 $-1$ 0 705 $3\cdot 5\cdot 47$ 3 3 0 $-1$ $-1$ 706 $2\cdot 353$ 2 2 0 1 1 707 $7\cdot 101$ 2 2 0 1 1 708 $2^{2}\cdot 3\cdot 59$ 4 3 1 1 0 709 Prime 1 1 0 $-1$ $-1$ 710 $2\cdot 5\cdot 71$ 3 3 0 $-1$ $-1$ 711 $3^{2}\cdot 79$ 3 2 1 $-1$ 0 712 $2^{3}\cdot 89$ 4 2 2 1 0 713 $23\cdot 31$ 2 2 0 1 1 714 $2\cdot 3\cdot 7\cdot 17$ 4 4 0 1 1 715 $5\cdot 11\cdot 13$ 3 3 0 $-1$ $-1$ 716 $2^{2}\cdot 179$ 3 2 1 $-1$ 0 717 $3\cdot 239$ 2 2 0 1 1 718 $2\cdot 359$ 2 2 0 1 1 719 Prime 1 1 0 $-1$ $-1$ 720 $2^{4}\cdot 3^{2}\cdot 5$ 7 3 4 $-1$ 0 721 $7\cdot 103$ 2 2 0 1 1 722 $2\cdot 19^{2}$ 3 2 1 $-1$ 0 723 $3\cdot 241$ 2 2 0 1 1 724 $2^{2}\cdot 181$ 3 2 1 $-1$ 0 725 $5^{2}\cdot 29$ 3 2 1 $-1$ 0 726 $2\cdot 3\cdot 11^{2}$ 4 3 1 1 0 727 Prime 1 1 0 $-1$ $-1$ 728 $2^{3}\cdot 7\cdot 13$ 5 3 2 $-1$ 0 729 $3^{6}$ 6 1 5 1 0 730 $2\cdot 5\cdot 73$ 3 3 0 $-1$ $-1$ 731 $17\cdot 43$ 2 2 0 1 1 732 $2^{2}\cdot 3\cdot 61$ 4 3 1 1 0 733 Prime 1 1 0 $-1$ $-1$ 734 $2\cdot 367$ 2 2 0 1 1 735 $3\cdot 5\cdot 7^{2}$ 4 3 1 1 0 736 $2^{5}\cdot 23$ 6 2 4 1 0 737 $11\cdot 67$ 2 2 0 1 1 738 $2\cdot 3^{2}\cdot 41$ 4 3 1 1 0 739 Prime 1 1 0 $-1$ $-1$ 740 $2^{2}\cdot 5\cdot 37$ 4 3 1 1 0 741 $3\cdot 13\cdot 19$ 3 3 0 $-1$ $-1$ 742 $2\cdot 7\cdot 53$ 3 3 0 $-1$ $-1$ 743 Prime 1 1 0 $-1$ $-1$ 744 $2^{3}\cdot 3\cdot 31$ 5 3 2 $-1$ 0 745 $5\cdot 149$ 2 2 0 1 1 746 $2\cdot 373$ 2 2 0 1 1 747 $3^{2}\cdot 83$ 3 2 1 $-1$ 0 748 $2^{2}\cdot 11\cdot 17$ 4 3 1 1 0 749 $7\cdot 107$ 2 2 0 1 1 750 $2\cdot 3\cdot 5^{3}$ 5 3 2 $-1$ 0 751 Prime 1 1 0 $-1$ $-1$ 752 $2^{4}\cdot 47$ 5 2 3 $-1$ 0 753 $3\cdot 251$ 2 2 0 1 1 754 $2\cdot 13\cdot 29$ 3 3 0 $-1$ $-1$ 755 $5\cdot 151$ 2 2 0 1 1 756 $2^{2}\cdot 3^{3}\cdot 7$ 6 3 3 1 0 757 Prime 1 1 0 $-1$ $-1$ 758 $2\cdot 379$ 2 2 0 1 1 759 $3\cdot 11\cdot 23$ 3 3 0 $-1$ $-1$ 760 $2^{3}\cdot 5\cdot 19$ 5 3 2 $-1$ 0 761 Prime 1 1 0 $-1$ $-1$ 762 $2\cdot 3\cdot 127$ 3 3 0 $-1$ $-1$ 763 $7\cdot 109$ 2 2 0 1 1 764 $2^{2}\cdot 191$ 3 2 1 $-1$ 0 765 $3^{2}\cdot 5\cdot 17$ 4 3 1 1 0 766 $2\cdot 383$ 2 2 0 1 1 767 $13\cdot 59$ 2 2 0 1 1 768 $2^{8}\cdot 3$ 9 2 7 $-1$ 0 769 Prime 1 1 0 $-1$ $-1$ 770 $2\cdot 5\cdot 7\cdot 11$ 4 4 0 1 1 771 $3\cdot 257$ 2 2 0 1 1 772 $2^{2}\cdot 193$ 3 2 1 $-1$ 0 773 Prime 1 1 0 $-1$ $-1$ 774 $2\cdot 3^{2}\cdot 43$ 4 3 1 1 0 775 $5^{2}\cdot 31$ 3 2 1 $-1$ 0 776 $2^{3}\cdot 97$ 4 2 2 1 0 777 $3\cdot 7\cdot 37$ 3 3 0 $-1$ $-1$ 778 $2\cdot 389$ 2 2 0 1 1 779 $19\cdot 41$ 2 2 0 1 1 780 $2^{2}\cdot 3\cdot 5\cdot 13$ 5 4 1 $-1$ 0 781 $11\cdot 71$ 2 2 0 1 1 782 $2\cdot 17\cdot 23$ 3 3 0 $-1$ $-1$ 783 $3^{3}\cdot 29$ 4 2 2 1 0 784 $2^{4}\cdot 7^{2}$ 6 2 4 1 0 785 $5\cdot 157$ 2 2 0 1 1 786 $2\cdot 3\cdot 131$ 3 3 0 $-1$ $-1$ 787 Prime 1 1 0 $-1$ $-1$ 788 $2^{2}\cdot 197$ 3 2 1 $-1$ 0 789 $3\cdot 263$ 2 2 0 1 1 790 $2\cdot 5\cdot 79$ 3 3 0 $-1$ $-1$ 791 $7\cdot 113$ 2 2 0 1 1 792 $2^{3}\cdot 3^{2}\cdot 11$ 6 3 3 1 0 793 $13\cdot 61$ 2 2 0 1 1 794 $2\cdot 397$ 2 2 0 1 1 795 $3\cdot 5\cdot 53$ 3 3 0 $-1$ $-1$ 796 $2^{2}\cdot 199$ 3 2 1 $-1$ 0 797 Prime 1 1 0 $-1$ $-1$ 798 $2\cdot 3\cdot 7\cdot 19$ 4 4 0 1 1 799 $17\cdot 47$ 2 2 0 1 1 800 $2^{5}\cdot 5^{2}$ 7 2 5 $-1$ 0 801 $3^{2}\cdot 89$ 3 2 1 $-1$ 0 802 $2\cdot 401$ 2 2 0 1 1 803 $11\cdot 73$ 2 2 0 1 1 804 $2^{2}\cdot 3\cdot 67$ 4 3 1 1 0 805 $5\cdot 7\cdot 23$ 3 3 0 $-1$ $-1$ 806 $2\cdot 13\cdot 31$ 3 3 0 $-1$ $-1$ 807 $3\cdot 269$ 2 2 0 1 1 808 $2^{3}\cdot 101$ 4 2 2 1 0 809 Prime 1 1 0 $-1$ $-1$ 810 $2\cdot 3^{4}\cdot 5$ 6 3 3 1 0 811 Prime 1 1 0 $-1$ $-1$ 812 $2^{2}\cdot 7\cdot 29$ 4 3 1 1 0 813 $3\cdot 271$ 2 2 0 1 1 814 $2\cdot 11\cdot 37$ 3 3 0 $-1$ $-1$ 815 $5\cdot 163$ 2 2 0 1 1 816 $2^{4}\cdot 3\cdot 17$ 6 3 3 1 0 817 $19\cdot 43$ 2 2 0 1 1 818 $2\cdot 409$ 2 2 0 1 1 819 $3^{2}\cdot 7\cdot 13$ 4 3 1 1 0 820 $2^{2}\cdot 5\cdot 41$ 4 3 1 1 0 821 Prime 1 1 0 $-1$ $-1$ 822 $2\cdot 3\cdot 137$ 3 3 0 $-1$ $-1$ 823 Prime 1 1 0 $-1$ $-1$ 824 $2^{3}\cdot 103$ 4 2 2 1 0 825 $3\cdot 5^{2}\cdot 11$ 4 3 1 1 0 826 $2\cdot 7\cdot 59$ 3 3 0 $-1$ $-1$ 827 Prime 1 1 0 $-1$ $-1$ 828 $2^{2}\cdot 3^{2}\cdot 23$ 5 3 2 $-1$ 0 829 Prime 1 1 0 $-1$ $-1$ 830 $2\cdot 5\cdot 83$ 3 3 0 $-1$ $-1$ 831 $3\cdot 277$ 2 2 0 1 1 832 $2^{6}\cdot 13$ 7 2 5 $-1$ 0 833 $7^{2}\cdot 17$ 3 2 1 $-1$ 0 834 $2\cdot 3\cdot 139$ 3 3 0 $-1$ $-1$ 835 $5\cdot 167$ 2 2 0 1 1 836 $2^{2}\cdot 11\cdot 19$ 4 3 1 1 0 837 $3^{3}\cdot 31$ 4 2 2 1 0 838 $2\cdot 419$ 2 2 0 1 1 839 Prime 1 1 0 $-1$ $-1$ 840 $2^{3}\cdot 3\cdot 5\cdot 7$ 6 4 2 1 0 841 $29^{2}$ 2 1 1 1 0 842 $2\cdot 421$ 2 2 0 1 1 843 $3\cdot 281$ 2 2 0 1 1 844 $2^{2}\cdot 211$ 3 2 1 $-1$ 0 845 $5\cdot 13^{2}$ 3 2 1 $-1$ 0 846 $2\cdot 3^{2}\cdot 47$ 4 3 1 1 0 847 $7\cdot 11^{2}$ 3 2 1 $-1$ 0 848 $2^{4}\cdot 53$ 5 2 3 $-1$ 0 849 $3\cdot 283$ 2 2 0 1 1 850 $2\cdot 5^{2}\cdot 17$ 4 3 1 1 0 851 $23\cdot 37$ 2 2 0 1 1 852 $2^{2}\cdot 3\cdot 71$ 4 3 1 1 0 853 Prime 1 1 0 $-1$ $-1$ 854 $2\cdot 7\cdot 61$ 3 3 0 $-1$ $-1$ 855 $3^{2}\cdot 5\cdot 19$ 4 3 1 1 0 856 $2^{3}\cdot 107$ 4 2 2 1 0 857 Prime 1 1 0 $-1$ $-1$ 858 $2\cdot 3\cdot 11\cdot 13$ 4 4 0 1 1 859 Prime 1 1 0 $-1$ $-1$ 860 $2^{2}\cdot 5\cdot 43$ 4 3 1 1 0 861 $3\cdot 7\cdot 41$ 3 3 0 $-1$ $-1$ 862 $2\cdot 431$ 2 2 0 1 1 863 Prime 1 1 0 $-1$ $-1$ 864 $2^{5}\cdot 3^{3}$ 8 2 6 1 0 865 $5\cdot 173$ 2 2 0 1 1 866 $2\cdot 433$ 2 2 0 1 1 867 $3\cdot 17^{2}$ 3 2 1 $-1$ 0 868 $2^{2}\cdot 7\cdot 31$ 4 3 1 1 0 869 $11\cdot 79$ 2 2 0 1 1 870 $2\cdot 3\cdot 5\cdot 29$ 4 4 0 1 1 871 $13\cdot 67$ 2 2 0 1 1 872 $2^{3}\cdot 109$ 4 2 2 1 0 873 $3^{2}\cdot 97$ 3 2 1 $-1$ 0 874 $2\cdot 19\cdot 23$ 3 3 0 $-1$ $-1$ 875 $5^{3}\cdot 7$ 4 2 2 1 0 876 $2^{2}\cdot 3\cdot 73$ 4 3 1 1 0 877 Prime 1 1 0 $-1$ $-1$ 878 $2\cdot 439$ 2 2 0 1 1 879 $3\cdot 293$ 2 2 0 1 1 880 $2^{4}\cdot 5\cdot 11$ 6 3 3 1 0 881 Prime 1 1 0 $-1$ $-1$ 882 $2\cdot 3^{2}\cdot 7^{2}$ 5 3 2 $-1$ 0 883 Prime 1 1 0 $-1$ $-1$ 884 $2^{2}\cdot 13\cdot 17$ 4 3 1 1 0 885 $3\cdot 5\cdot 59$ 3 3 0 $-1$ $-1$ 886 $2\cdot 443$ 2 2 0 1 1 887 Prime 1 1 0 $-1$ $-1$ 888 $2^{3}\cdot 3\cdot 37$ 5 3 2 $-1$ 0 889 $7\cdot 127$ 2 2 0 1 1 890 $2\cdot 5\cdot 89$ 3 3 0 $-1$ $-1$ 891 $3^{4}\cdot 11$ 5 2 3 $-1$ 0 892 $2^{2}\cdot 223$ 3 2 1 $-1$ 0 893 $19\cdot 47$ 2 2 0 1 1 894 $2\cdot 3\cdot 149$ 3 3 0 $-1$ $-1$ 895 $5\cdot 179$ 2 2 0 1 1 896 $2^{7}\cdot 7$ 8 2 6 1 0 897 $3\cdot 13\cdot 23$ 3 3 0 $-1$ $-1$ 898 $2\cdot 449$ 2 2 0 1 1 899 $29\cdot 31$ 2 2 0 1 1 900 $2^{2}\cdot 3^{2}\cdot 5^{2}$ 6 3 3 1 0 901 $17\cdot 53$ 2 2 0 1 1 902 $2\cdot 11\cdot 41$ 3 3 0 $-1$ $-1$ 903 $3\cdot 7\cdot 43$ 3 3 0 $-1$ $-1$ 904 $2^{3}\cdot 113$ 4 2 2 1 0 905 $5\cdot 181$ 2 2 0 1 1 906 $2\cdot 3\cdot 151$ 3 3 0 $-1$ $-1$ 907 Prime 1 1 0 $-1$ $-1$ 908 $2^{2}\cdot 227$ 3 2 1 $-1$ 0 909 $3^{2}\cdot 101$ 3 2 1 $-1$ 0 910 $2\cdot 5\cdot 7\cdot 13$ 4 4 0 1 1 911 Prime 1 1 0 $-1$ $-1$ 912 $2^{4}\cdot 3\cdot 19$ 6 3 3 1 0 913 $11\cdot 83$ 2 2 0 1 1 914 $2\cdot 457$ 2 2 0 1 1 915 $3\cdot 5\cdot 61$ 3 3 0 $-1$ $-1$ 916 $2^{2}\cdot 229$ 3 2 1 $-1$ 0 917 $7\cdot 131$ 2 2 0 1 1 918 $2\cdot 3^{3}\cdot 17$ 5 3 2 $-1$ 0 919 Prime 1 1 0 $-1$ $-1$ 920 $2^{3}\cdot 5\cdot 23$ 5 3 2 $-1$ 0 921 $3\cdot 307$ 2 2 0 1 1 922 $2\cdot 461$ 2 2 0 1 1 923 $13\cdot 71$ 2 2 0 1 1 924 $2^{2}\cdot 3\cdot 7\cdot 11$ 5 4 1 $-1$ 0 925 $5^{2}\cdot 37$ 3 2 1 $-1$ 0 926 $2\cdot 463$ 2 2 0 1 1 927 $3^{2}\cdot 103$ 3 2 1 $-1$ 0 928 $2^{5}\cdot 29$ 6 2 4 1 0 929 Prime 1 1 0 $-1$ $-1$ 930 $2\cdot 3\cdot 5\cdot 31$ 4 4 0 1 1 931 $7^{2}\cdot 19$ 3 2 1 $-1$ 0 932 $2^{2}\cdot 233$ 3 2 1 $-1$ 0 933 $3\cdot 311$ 2 2 0 1 1 934 $2\cdot 467$ 2 2 0 1 1 935 $5\cdot 11\cdot 17$ 3 3 0 $-1$ $-1$ 936 $2^{3}\cdot 3^{2}\cdot 13$ 6 3 3 1 0 937 Prime 1 1 0 $-1$ $-1$ 938 $2\cdot 7\cdot 67$ 3 3 0 $-1$ $-1$ 939 $3\cdot 313$ 2 2 0 1 1 940 $2^{2}\cdot 5\cdot 47$ 4 3 1 1 0 941 Prime 1 1 0 $-1$ $-1$ 942 $2\cdot 3\cdot 157$ 3 3 0 $-1$ $-1$ 943 $23\cdot 41$ 2 2 0 1 1 944 $2^{4}\cdot 59$ 5 2 3 $-1$ 0 945 $3^{3}\cdot 5\cdot 7$ 5 3 2 $-1$ 0 946 $2\cdot 11\cdot 43$ 3 3 0 $-1$ $-1$ 947 Prime 1 1 0 $-1$ $-1$ 948 $2^{2}\cdot 3\cdot 79$ 4 3 1 1 0 949 $13\cdot 73$ 2 2 0 1 1 950 $2\cdot 5^{2}\cdot 19$ 4 3 1 1 0 951 $3\cdot 317$ 2 2 0 1 1 952 $2^{3}\cdot 7\cdot 17$ 5 3 2 $-1$ 0 953 Prime 1 1 0 $-1$ $-1$ 954 $2\cdot 3^{2}\cdot 53$ 4 3 1 1 0 955 $5\cdot 191$ 2 2 0 1 1 956 $2^{2}\cdot 239$ 3 2 1 $-1$ 0 957 $3\cdot 11\cdot 29$ 3 3 0 $-1$ $-1$ 958 $2\cdot 479$ 2 2 0 1 1 959 $7\cdot 137$ 2 2 0 1 1 960 $2^{6}\cdot 3\cdot 5$ 8 3 5 1 0 961 $31^{2}$ 2 1 1 1 0 962 $2\cdot 13\cdot 37$ 3 3 0 $-1$ $-1$ 963 $3^{2}\cdot 107$ 3 2 1 $-1$ 0 964 $2^{2}\cdot 241$ 3 2 1 $-1$ 0 965 $5\cdot 193$ 2 2 0 1 1 966 $2\cdot 3\cdot 7\cdot 23$ 4 4 0 1 1 967 Prime 1 1 0 $-1$ $-1$ 968 $2^{3}\cdot 11^{2}$ 5 2 3 $-1$ 0 969 $3\cdot 17\cdot 19$ 3 3 0 $-1$ $-1$ 970 $2\cdot 5\cdot 97$ 3 3 0 $-1$ $-1$ 971 Prime 1 1 0 $-1$ $-1$ 972 $2^{2}\cdot 3^{5}$ 7 2 5 $-1$ 0 973 $7\cdot 139$ 2 2 0 1 1 974 $2\cdot 487$ 2 2 0 1 1 975 $3\cdot 5^{2}\cdot 13$ 4 3 1 1 0 976 $2^{4}\cdot 61$ 5 2 3 $-1$ 0 977 Prime 1 1 0 $-1$ $-1$ 978 $2\cdot 3\cdot 163$ 3 3 0 $-1$ $-1$ 979 $11\cdot 89$ 2 2 0 1 1 980 $2^{2}\cdot 5\cdot 7^{2}$ 5 3 2 $-1$ 0 981 $3^{2}\cdot 109$ 3 2 1 $-1$ 0 982 $2\cdot 491$ 2 2 0 1 1 983 Prime 1 1 0 $-1$ $-1$ 984 $2^{3}\cdot 3\cdot 41$ 5 3 2 $-1$ 0 985 $5\cdot 197$ 2 2 0 1 1 986 $2\cdot 17\cdot 29$ 3 3 0 $-1$ $-1$ 987 $3\cdot 7\cdot 47$ 3 3 0 $-1$ $-1$ 988 $2^{2}\cdot 13\cdot 19$ 4 3 1 1 0 989 $23\cdot 43$ 2 2 0 1 1 990 $2\cdot 3^{2}\cdot 5\cdot 11$ 5 4 1 $-1$ 0 991 Prime 1 1 0 $-1$ $-1$ 992 $2^{5}\cdot 31$ 6 2 4 1 0 993 $3\cdot 331$ 2 2 0 1 1 994 $2\cdot 7\cdot 71$ 3 3 0 $-1$ $-1$ 995 $5\cdot 199$ 2 2 0 1 1 996 $2^{2}\cdot 3\cdot 83$ 4 3 1 1 0 997 Prime 1 1 0 $-1$ $-1$ 998 $2\cdot 499$ 2 2 0 1 1 999 $3^{3}\cdot 37$ 4 2 2 1 0 1000 $2^{3}\cdot 5^{3}$ 6 2 4 1 0
Title table of integer factorizations for $0 TableOfIntegerFactorizationsFor0N1001 2013-03-22 17:54:58 2013-03-22 17:54:58 PrimeFan (13766) PrimeFan (13766) 4 PrimeFan (13766) Data Structure msc 11A41