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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 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. My strength is made perfect in weakness. --2 Cor. xii. 9. Three glorious suns, each one a perfect sun. --Shak. I fear I am not in my perfect mind. --Shak. O most entire perfect sacrifice! --Keble. God made thee perfect, not immutable. --Milton. 2. Well informed; certain; sure. I am perfect that the Pannonains are now in arms. --Shak. 3. (Bot.) Hermaphrodite; having both stamens and pistils; -- said of flower. 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.

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. My strength is made perfect in weakness. --2 Cor. xii. 9. Three glorious suns, each one a perfect sun. --Shak. I fear I am not in my perfect mind. --Shak. O most entire perfect sacrifice! --Keble. God made thee perfect, not immutable. --Milton. 2. Well informed; certain; sure. I am perfect that the Pannonains are now in arms. --Shak. 3. (Bot.) Hermaphrodite; having both stamens and pistils; -- said of flower. 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.

- 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...

- Perfect Number (Hangul: 용의자X; RR: Yonguija X; lit. Suspect X) is a 2012 South Korean mystery-drama film directed by Bang Eun-jin. Adapted from Keigo Higashino's...

- 1^{3}+3^{3}+\dots +57^{3}=(41\cdot 29)^{2}} and so on. Also, every even perfect number, except the lowest, is the sum of the first 2p−1/2 odd cubes (p = 3...

- mathematics, a multiply perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural...

- (PPDI), an Armstrong number (after Michael F. Armstrong) or a plus perfect number) is a number that is the sum of its own digits each raised to the power...

- 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...

- In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, we apply the totient function to a...

- In mathematics, an almost perfect number (sometimes also called slightly defective or least deficient number) is a natural number n such that the sum of...

- covers some range of natural numbers k ≥ √m. A square number cannot be a perfect number. The sum of the n first square numbers is ∑ n = 0 N n 2 = 0 2 + 1 2...

- smaller perfect numbers are discovered. It is known there is no odd perfect number below 101500. GIMPS reported that by 8 April 2018 the search for Mersenne...

- Perfect Number (Hangul: 용의자X; RR: Yonguija X; lit. Suspect X) is a 2012 South Korean mystery-drama film directed by Bang Eun-jin. Adapted from Keigo Higashino's...

- 1^{3}+3^{3}+\dots +57^{3}=(41\cdot 29)^{2}} and so on. Also, every even perfect number, except the lowest, is the sum of the first 2p−1/2 odd cubes (p = 3...

- mathematics, a multiply perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural...

- (PPDI), an Armstrong number (after Michael F. Armstrong) or a plus perfect number) is a number that is the sum of its own digits each raised to the power...

- 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...

- In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, we apply the totient function to a...

- In mathematics, an almost perfect number (sometimes also called slightly defective or least deficient number) is a natural number n such that the sum of...

- covers some range of natural numbers k ≥ √m. A square number cannot be a perfect number. The sum of the n first square numbers is ∑ n = 0 N n 2 = 0 2 + 1 2...

- smaller perfect numbers are discovered. It is known there is no odd perfect number below 101500. GIMPS reported that by 8 April 2018 the search for Mersenne...

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