Perfect number

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 completeness; completed; not defective nor redundant; having all the properties or qualities requisite to its nature and kind; without flaw, fault, or blemish; without error; mature; whole; pure; sound; right; correct. [1913 Webster]

My strength is made perfect in weakness. --2 Cor. xii. 9. [1913 Webster]

Three glorious suns, each one a perfect sun. --Shak. [1913 Webster]

I fear I am not in my perfect mind. --Shak. [1913 Webster]

O most entire perfect sacrifice! --Keble. [1913 Webster]

God made thee perfect, not immutable. --Milton. [1913 Webster]

2. Well informed; certain; sure. [1913 Webster]

I am perfect that the Pannonains are now in arms. --Shak. [1913 Webster]

3. (Bot.) Hermaphrodite; having both stamens and pistils; -- said of flower. [1913 Webster]

{Perfect cadence} (Mus.), a complete and satisfactory close in harmony, as upon the tonic preceded by the dominant.

{Perfect chord} (Mus.), a concord or union of sounds which is perfectly coalescent and agreeable to the ear, as the unison, octave, fifth, and fourth; a perfect consonance; a common chord in its original position of keynote, third, fifth, and octave.

{Perfect number} (Arith.), a number equal to the sum of all its divisors; as, 28, whose aliquot parts, or divisors, are 14, 7, 4, 2, 1. See {Abundant number}, under {Abundant}. --Brande & C.

{Perfect tense} (Gram.), a tense which expresses an act or state completed. [1913 Webster]

Syn: Finished; consummate; complete; entire; faultless; blameless; unblemished. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • 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 — noun 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 …   Wiktionary

  • 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

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