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Hometable of integer factorizations for $0 < n < 1001$

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# table of integer factorizations for $0<n<1001$

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 |