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amicable numbers


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.


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  • 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