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Concept information

mathematical analysis > calculus > sequence > integer sequence > refactorable number
number > natural numbers > refactorable number

Terme préférentiel

refactorable number  

Définition

  • A refactorable number or tau number is an integer n that is divisible by the count of its divisors, or to put it algebraically, n is such that . The first few refactorable numbers are listed in (sequence A033950 in the OEIS) as
    1, 2, 8, 9, 12, 18, 24, 36, 40, 56, 60, 72, 80, 84, 88, 96, 104, 108, 128, 132, 136, 152, 156, 180, 184, 204, 225, 228, 232, 240, 248, 252, 276, 288, 296, ...
    For example, 18 has 6 divisors (1 and 18, 2 and 9, 3 and 6) and is divisible by 6. There are infinitely many refactorable numbers.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Refactorable_number)

Concept générique

Synonyme(s)

  • tau number

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-VPSHM3X7-T

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RDF/XML TURTLE JSON-LD Date de création 26/07/2023, dernière modification le 18/10/2024