Nivenmorphic number

From Wikipedia, the free encyclopedia

A Nivenmorphic number or Harshadmorphic number is an integer t such that written in a given number base, it is possible to find a Harshad number Nt, whose digital sum is t, and t terminates Nt written in the same number base.[1]

For example, 18 is a Nivenmorphic number:

 16218 has 18 as digital sum
    18 divides 16218
    18 terminates 16218

Sandro Boscaro determined that all base-10 integers are Nivenmorphic numbers except 11.

[edit] References

  1. ^ Sandro Boscaro, Nivenmorphic Integers, Journal of Recreational Mathematics 28, 3 (1996 - 1997): 201 - 205
This mathematics-related article is a stub. You can help Wikipedia by expanding it.
Retrieved from "http://en.wikipedia.org../../../n/i/v/Nivenmorphic_number.html"