## Definitions

### from Wiktionary, Creative Commons Attribution/Share-Alike License

- n. Plural form of amicable number.

### from the GNU version of the Collaborative International Dictionary of English

- adj. two numbers, each of which is equal to the sum of all the aliquot parts of the other.

## Etymologies

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## Examples

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sionnach commented on the word amicable numbers

Any pair of integers a,b such that the factors of b add up to a and the factors of a add up to b.

220,284 represents such a pair, since the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, of which the sum is 284; and the proper divisors of 284 are 1, 2, 4, 71, and 142, of which the sum is 220.

Mathematical Aphrodisiac

November 17, 2007