- perfect number
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A 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.
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perfect number
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Perfect number — Perfect Per fect, a. [OE. parfit, OF. parfit, parfet, parfait, F. parfait, L. perfectus, p. p. of perficere to carry to the end, to perform, finish, perfect; per (see {Per }) + facere to make, do. See {Fact}.] 1. Brought to consummation or… … The Collaborative International Dictionary of English
perfect number — n. a positive integer which is equal to the sum of all its factors, excluding itself: the first four perfect numbers are 6, 28, 496, and 8,128 … English World dictionary
Perfect number — In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself (also known as its aliquot sum). Equivalently, a perfect… … Wikipedia
perfect number — Math. a positive number that is equal to the sum of all positive integers that are submultiples of it, as 6, which is equal to the sum of 1, 2, and 3. Cf. abundant number, deficient number. [1350 1400; ME] * * * ▪ mathematics a positive… … Universalium
perfect number — noun : an integer (as 6) the sum of whose divisors including 1 but excluding itself is equal to itself 28, which . 1 + 2 + 4 + 7 + 14, is a perfect number compare imperfect number * * * Math. a positive number that is equal to the sum of all… … Useful english dictionary
perfect number — per′fect num′ber n. math. a positive number that is equal to the sum of all positive integers that are submultiples of it, as 6, which is equal to the sum of 1, 2, and 3 • Etymology: 1350–1400 … From formal English to slang
perfect number — /pɜfəkt ˈnʌmbə/ (say perfuhkt numbuh) noun a number which is equal to the sum of its aliquot parts …
perfect number — noun Date: 14th century an integer (as 6 or 28) the sum of whose integral factors including 1 but excluding itself is equal to itself … New Collegiate Dictionary
Multiply perfect number — In mathematics, a multiply perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural number k, a number n is called k perfect (or k fold perfect) if and only if the sum of… … Wikipedia
Unitary perfect number — A unitary perfect number is an integer which is the sum of its positive proper unitary divisors, not including the number itself. (A divisor d of a number n is a unitary divisor if d and n / d share no common factors.) Some perfect numbers are… … Wikipedia
