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Amicable numbers

Explanation

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

Printed dictionaries and other books with definitions for Amicable numbers

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Google previewUnited Editors Encyclopedia and Dictionary (1907)

A Library of Universal Knowledge and an Unabridged Dictionary of the English Language ...

Amicable numbers are pairs of numbers, either one of ...

Google previewHistorical Encyclopedia of Natural and Mathematical Sciences (2009)

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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