abundant number

English

Pronunciation

(Received Pronunciation) IPA^(key): /əˈbʌn.dn̩t ˈnʌm.bə/
(US) IPA^(key): /əˈbʌn.dn̩t ˈnʌm.bɚ/, /əˈbn̩.dn̩t ˈnʌm.bɚ/

Noun

abundant number (plural abundant numbers)

(number theory) A number that is less than the sum of all of its divisors except itself.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30, and 1 + 2 + 3 + 5 + 6 + 10 + 15 = 42, which is greater than 30, so 30 is an abundant number.

Synonyms

excessive number

Translations

abundant number

Finnish: runsas luku (fi)
French: nombre abondant (fr) m
Italian: numero abbondante (it) m

Spanish: número abundante m
Swedish: ymnigt tal (sv) n, rikt tal (sv) n

See also

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