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amicable numbers
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(Definition)
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Example 1 The smallest amicable pair is $n=220$ and $m=284$ Indeed the sum of proper divisors of $220$ is: $$1+2+4+5+10+11+20+22+44+55+110=284$$ and the sum of proper divisors of $284$ is: $$1+2+4+71+142=220.$$
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"amicable numbers" is owned by alozano.
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Cross-references: proper divisors, sum, natural numbers
There are 10 references to this entry.
This is version 3 of amicable numbers, born on 2006-04-27, modified 2006-04-28.
Object id is 7875, canonical name is AmicableNumbers.
Accessed 4112 times total.
Classification:
| AMS MSC: | 11A05 (Number theory :: Elementary number theory :: Multiplicative structure; Euclidean algorithm; greatest common divisors) |
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Pending Errata and Addenda
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