Concept information
Preferred term
sociable number
Definition
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In mathematics, sociable numbers are numbers whose aliquot sums form a periodic sequence. They are generalizations of the concepts of perfect numbers and amicable numbers. The first two sociable sequences, or sociable chains, were discovered and named by the Belgian mathematician Paul Poulet in 1918. In a sociable sequence, each number is the sum of the proper divisors of the preceding number, i.e., the sum excludes the preceding number itself. For the sequence to be sociable, the sequence must be cyclic and return to its starting point.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Sociable_number)
Broader concept
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-RTZKCZJZ-P
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