digitaddition generator

Given an integer m consisting of k digits dx in base b, it follows that


, another integer. Then m is said to be the digitaddition generator of n.

In a randomly chosen range of 2b consecutive integers, most will have a digitaddition generator and one or two might have none (such integers are called self numbers). If the range falls near a multipleMathworldPlanetmath of b2, it might contain a few numbers with two digitaddition generators. If the range includes 0<n<b and 2|b, the n2 will lack digitaddition generators.

Title digitaddition generator
Canonical name DigitadditionGenerator
Date of creation 2013-03-22 15:56:12
Last modified on 2013-03-22 15:56:12
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 5
Author PrimeFan (13766)
Entry type Definition
Classification msc 11A63
Synonym digit addition generator
Synonym digit-addition generator