Harshad Number - Nivenmorphic Numbers

Nivenmorphic Numbers

A Nivenmorphic number or Harshadmorphic number for a given number base is an integer t such that there exists some Harshad number N whose digit sum is t, and t, written in that base, terminates N written in the same base.

For example, 18 is a Nivenmorphic number for base 10:

16218 is a Harshad number 16218 has 18 as digit sum 18 terminates 16218

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

Read more about this topic:  Harshad Number

Famous quotes containing the word numbers:

    “Our religion vulgarly stands on numbers of believers. Whenever the appeal is made—no matter how indirectly—to numbers, proclamation is then and there made, that religion is not. He that finds God a sweet, enveloping presence, who shall dare to come in?”
    —Ralph Waldo Emerson (1803–1882)