parasitic number

Given a base b integer n with k digits d1,,dk (with d1 being the least significant digit), and an integer 1<m<b, if it is the case that


then n is called an m-parasitic number or m-left-transposable number.

If one takes an m-parasitic number, concatenates copies of its digits in order whatever number of times one wants, the resulting new number will also be m-parasitic.

Title parasitic number
Canonical name ParasiticNumber
Date of creation 2013-03-22 16:22:17
Last modified on 2013-03-22 16:22:17
Owner CompositeFan (12809)
Last modified by CompositeFan (12809)
Numerical id 4
Author CompositeFan (12809)
Entry type Definition
Classification msc 11A63
Synonym left-transposable integer