sociable number

noun

Any of a sequence of numbers having the property that the sum of the divisors of each, excluding itself, is equal to the next number in the sequence; in the case of the last number of the sequence, the sum of the divisors, excluding that number, is equal to the first number of the sequence.

“The numbers in the sequence <1264460, 1547860, 1727636, 1305184> are sociable numbers.”

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Meanings

nounsociable number (plural sociable numbers)

plural sociable numbers

  1. mathematicsAny of a sequence of numbers having the property that the sum of the divisors of each, excluding itself, is equal to the next number in the sequence; in the case of the last number of the sequence, the sum of the divisors, excluding that number, is equal to the first number of the sequence.

    The numbers in the sequence <1264460, 1547860, 1727636, 1305184> are sociable numbers.

Translations

Polish liczba towarzyska
  • liczba towarzyskanumber whose aliquot sums form a periodic sequence
Cite this entry
APA

sociable number. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/sociable%20number

MLA

“sociable number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/sociable%20number. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “sociable number,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/sociable%20number.

Source: sociable number on Wiktionary, CC BY-SA 4.0.