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Amenable number — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Amenable_number
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-15T14:14:17.615Z
SHA-256 of the archived text: b519b0a1c88c55e3a1efea2d9f952aa6bc6c200aca544faa80ecf08df9b85fcd
Stable URL of this page: https://metraipolis.com/documento/dc_111b8a2db0df

How to cite

Amenable number — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Amenable_number (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_111b8a2db0df (Metraipolis archive dc_111b8a2db0df, sha256 b519b0a1c88c55e3a1efea2d9f952aa6bc6c200aca544faa80ecf08df9b85fcd)

BibTeX

@misc{dc111b8a2db0df,
  title = {Amenable number — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Amenable_number},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_111b8a2db0df; sha256 b519b0a1c88c55e3a1efea2d9f952aa6bc6c200aca544faa80ecf08df9b85fcd},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Amenable_number. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

An amenable number is a positive integer for which there exists a multiset of as many integers as the original number that both add up to the original number and when multiplied together give the original number. To put it algebraically, for a positive integer n, there is a multiset of n integers {a1, ..., an}, for which the equalities n = ∑ i = 1 n a i = ∏ i = 1 n a i {\displaystyle n=\sum _{i=1}^{n}a_{i}=\prod _{i=1}^{n}a_{i}} hold. The amenable numbers were named in a 1995 problem posed by H. Tamvakis. Whether a number is amenable can be determined from its value modulo 4.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Number theory»).
Fonte: Wikipedia in inglese, voce «Amenable number» — https://en.wikipedia.org/wiki/Amenable_number
Wikidata Q4742387 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q4742387
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Amenable_number?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1373150548, consultata il 2026-10-15T13:53:31.456Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: bc73e28f464e611f8566f4d3249fd1f029420f8fcd955d990cda4bbec12fddcd