# 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 $d_{1}$-parasitic (where $d_{1}$ 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 $d_{1}$-parasitic numbers in sequence A081463 of Sloane’s OEIS.

Sequence A092697 lists the smallest $d_{i}$-parasitic numbers for $1: 1, 102564, 1012658227848, 105263157894736842, 1014492753623188405797, 1034482758620689655172413793, 102040816326530612244897959183673469387755, 10112359550561797752808988764044943820224719, 1016949152542372881355932203389830508474576271186440677966.

Title examples of parasitic numbers ExamplesOfParasiticNumbers 2013-03-22 16:22:38 2013-03-22 16:22:38 PrimeFan (13766) PrimeFan (13766) 4 PrimeFan (13766) Example msc 11A63