Standard Lemma guide

factorion

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

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

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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

Word forms

Inflections and variants

factorions — plural

Word family

Derived and related words

Derived: none provided

Related: none provided

Semantic map

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Sources

Where this information comes from

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