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Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. A pair of amicable numbers constitutes an aliquot sequence of period 2. A related concept is that of a perfect number, which is a number that equals the sum of its own proper divisors, in other words a number which forms an aliquot sequence of period 1. Numbers that are members of an aliquot sequence with period greater than 2 are known as sociable numbers.
- also known as Amicable number
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A Library of Universal Knowledge and an Unabridged Dictionary of the English Language ...
Amicable numbers are pairs of numbers, either one of ...
by Ari Ben-Menahem
Amicable numbers intrigued the Greeks, Arabs and many other since antiquity193. The mathematician Thabit Ibn Qurra al-Harrani (ca 855 CE) ...
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