examples of parasitic numbers
When using some scientific calculators in the course of searching for parasitic numbers, it might be useful to work in base 10 first, as such calculators might be incapable of dealing with values other than integer values in the other bases.
In base 10, the following numbers are -parasitic (where is the least significant digit): 1, 11, 111, 1111, 11111, 102564, 111111, 1111111, 11111111, 111111111, 1111111111, 11111111111, 102564102564, 111111111111,
1012658227848, 1111111111111, 11111111111111, 111111111111111, 1111111111111111, 11111111111111111, 102564102564102564, 105263157894736842,
111111111111111111, 1111111111111111111, 11111111111111111111,
111111111111111111111, 1014492753623188405797, 1111111111111111111111,
11111111111111111111111, 102564102564102564102564, 111111111111111111111111,
1111111111111111111111111, 11111111111111111111111111,
111111111111111111111111111, 1034482758620689655172413793,
1111111111111111111111111111, etc. In all honesty, however, the repunits
are parasitic in a trivial sense because of the multiplicative identity
. That’s why they’re omitted from the list of -parasitic numbers in sequence A081463 of Sloane’s OEIS.
Sequence A092697 lists the smallest -parasitic numbers for : 1, 102564, 1012658227848, 105263157894736842, 1014492753623188405797, 1034482758620689655172413793, 102040816326530612244897959183673469387755, 10112359550561797752808988764044943820224719, 1016949152542372881355932203389830508474576271186440677966.
| Title | examples of parasitic numbers |
|---|---|
| Canonical name | ExamplesOfParasiticNumbers |
| Date of creation | 2013-03-22 16:22:38 |
| Last modified on | 2013-03-22 16:22:38 |
| Owner | PrimeFan (13766) |
| Last modified by | PrimeFan (13766) |
| Numerical id | 4 |
| Author | PrimeFan (13766) |
| Entry type | Example |
| Classification | msc 11A63 |