factorion

F4A1C3T1O1R1I1O1N1

noun

A number that is equal to the sum of the factorials of its digits.

Scrabble 14
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Meanings

nounfactorion (plural factorions)

plural factorions

  1. mathematicsA number that is equal to the sum of the factorials of its digits.

    145 is a factorion because 1! + 4! + 5! = 1 + 24 + 120 = 145.

Origin

From factorial + -on, coined by Clifford A. Pickover.

Full word history & related roots →

Rhymes & wordplay

Anagrams

ionocraft
Cite this entry
APA

factorion. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/factorion

MLA

“factorion.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/factorion. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “factorion,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/factorion.

Source: factorion on Wiktionary, CC BY-SA 4.0.