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Amicable number - Wikipedia, the free encyclopedia
Amicable numbers are two different numbers so related that the sum of the proper divisors of one of the numbers is equal to the other. (A proper divisor of a number is a positive integer divisor othe...
en.wikipedia.org/wiki/Amicable_number |
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Numbers which are mutually equal to the sum of all their aliquot parts: as 220, 284. The aliquot parts of 220 are 1, 2, 4, 5, 10, 11, 20, 22 44, 55, 110, the sum of which is 284. Again, the aliquot parts of 284 are 1, 2, 4, 71, 142, the sum of which is 220.
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A page about amicable numbers, two numbers, each of whose divisors sum to the other number. ... Hundreds of thousands of pairs of amicable numbers are now known. Most of these pairs have been discovered only in the past few years.
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The Pythagoreans were also interested in what we now call amicable numbers--pairs in which each number is the sum of the proper divisors of the other. The smallest such pair is 220 and 284. The number 220 is evenly divisible by 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110, which add up to 284;
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Descartes discovered another pair, 9,363,584 and 9,437,056. So, when Euler came on the scene, only three pairs of amicable numbers were known. Then, in;
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P. Bratley and J. McKay. More amicable numbers. Mathematics of Computation, 22:677--678, 1968. ... P. Bratley and J. McKay. More amicable numbers. Mathematics of Computation, 22:677--678, 1968.; Home/Search Document Not in Database Summary Related Articles...
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Numbers which are mutually equal to the sum of all their aliquot parts: as 220, 284. The aliquot parts of 220 are 1, 2, 4, 5, 10, 11, 20, 22 44, 55, 110, ... More on Amicable Numbers from Infoplease: ... Amicable Numbers - Amicable Numbers Numbers which are mutually equal to the sum of all their aliquot parts: as 220, ...
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