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A number that is the sum of all of its divisors except itself.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, number-theory, sciences
Examples
- 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.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Calque of Latin numerus perfectus, with this use of perfectus itself a semantic loan from Ancient Greek τέλειος (téleios).
Across languages
Translations
25 source translations are retained for this English entry.
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Catalan:
nombre perfecte
— a number that is the sum of all of its divisors except itself
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Chinese Mandarin:
完全數 /完全数
(wánquánshù)
— a number that is the sum of all of its divisors except itself
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Dutch:
perfect getal
— a number that is the sum of all of its divisors except itself
-
Finnish:
täydellinen luku
— a number that is the sum of all of its divisors except itself
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French:
nombre parfait
— a number that is the sum of all of its divisors except itself
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Galician:
número perfecto
— a number that is the sum of all of its divisors except itself
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German:
vollkommene Zahl
— a number that is the sum of all of its divisors except itself
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German:
perfekte Zahl
— a number that is the sum of all of its divisors except itself
-
German:
ideale Zahl
— a number that is the sum of all of its divisors except itself
-
Icelandic:
fullkomin tala
— a number that is the sum of all of its divisors except itself
-
Old Irish:
áram foirbthe
— a number that is the sum of all of its divisors except itself
-
Italian:
numero perfetto
— a number that is the sum of all of its divisors except itself
-
Japanese:
完全数
(kanzen-su)
— a number that is the sum of all of its divisors except itself
-
Korean:
완전수
(wanjeonsu)
— a number that is the sum of all of its divisors except itself
-
Latin:
numerus perfectus
— a number that is the sum of all of its divisors except itself
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Norwegian Bokmål:
perfekt tall
— a number that is the sum of all of its divisors except itself
-
Polish:
liczba doskonała
— a number that is the sum of all of its divisors except itself
-
Portuguese:
número perfeito
— a number that is the sum of all of its divisors except itself
-
Romanian:
număr perfect
— a number that is the sum of all of its divisors except itself
-
Russian:
соверше́нное число́
(soveršénnoje čisló)
— a number that is the sum of all of its divisors except itself
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Slovak:
dokonalé číslo
— a number that is the sum of all of its divisors except itself
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Spanish:
número perfecto
— a number that is the sum of all of its divisors except itself
-
Swedish:
perfekt tal
— a number that is the sum of all of its divisors except itself
-
Tagalog:
himpit na bilang
— a number that is the sum of all of its divisors except itself
-
Turkish:
mükemmel sayı
— a number that is the sum of all of its divisors except itself