perfect number
A number that is the sum of all of its divisors except itselfA number that is the sum of all of its divisors except itself.
» It's the perfect number.
Это идеальное число.
Це ідеальне число.
Meaning
1 sensesA number that is the sum of all of its divisors except itself.
The factors of 6 are 1, 2, 3 and 6, and 1 + 2 + 3 = 6, so 6 is a perfect number.
The factors of 28 are 1, 2, 4, 7, 14 and 28, and 1 + 2 + 4 + 7 + 14 = 28, so 28 is a perfect number.
vollkommene Zahl, perfekte Zahl, ideale Zahl
соверше́нное число́soveršénnoje čisló
Examples
2 sentencesIt's the perfect number.
Це ідеальне число.
ruЭто идеальное число.
It is unknown whether any odd perfect numbers exist.
ruНеизвестно, существуют ли нечётные совершенные числа.
Translations
8 languagesBy meaning 1
By meaning 1
Origin
Calque of Latin numerus perfectus, with this use of perfectus itself a semantic loan fromCalque of Latin numerus perfectus, with this use of perfectus itself a semantic loan from Ancient Greek τέλειος (téleios).
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Forms
plural: perfect numbers| Singular | perfect number |
|---|---|
| Plural | perfect numbers |
regular