amicable numbers


Two natural numbersMathworldPlanetmath n and m are amicable numbers (an amicable pair or simply amicable) if each is the sum of the proper divisors of the other.


The smallest amicable pair is n=220 and m=284. Indeed the sum of proper divisors of 220 is:


and the sum of proper divisors of 284 is:

Title amicable numbers
Canonical name AmicableNumbers
Date of creation 2013-03-22 15:52:41
Last modified on 2013-03-22 15:52:41
Owner alozano (2414)
Last modified by alozano (2414)
Numerical id 6
Author alozano (2414)
Entry type Definition
Classification msc 11A05
Synonym amicable pair
Synonym amicable
Related topic AbundantNumber
Related topic DeficientNumber