amicable numbers
Definition.
Two natural numbers and are amicable numbers (an amicable pair or simply amicable) if each is the sum of the proper divisors of the other.
Example.
The smallest amicable pair is and . Indeed the sum of proper divisors of is:
and the sum of proper divisors of 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 |