proper divisor

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• Divisor function — σ0(n) up to n = 250 Sigma function σ …   Wikipedia

• Divisor — divisible redirects here. For divisibility of groups, see Divisible group. For the second operand of a division, see Division (mathematics). For divisors in algebraic geometry, see Divisor (algebraic geometry). For divisibility in the ring theory …   Wikipedia

• Unitary divisor — In mathematics, a natural number a is a unitary divisor of a number b if a and frac{b}{a} are coprime, having no common factor other than 1. Thus, 5 is a unitary divisor of 60, because 5 and frac{60}{5}=12 have only 1 as a common factor, while 6… …   Wikipedia

• Common divisor — Common Com mon, a. [Compar. {Commoner}; superl. {Commonest}.] [OE. commun, comon, OF. comun, F. commun, fr. L. communis; com + munis ready to be of service; cf. Skr. mi to make fast, set up, build, Goth. gamains common, G. gemein, and E. mean low …   The Collaborative International Dictionary of English

• Table of divisors — The tables below list all of the divisors of the numbers 1 to 1000.A divisor of an integer n is an integer m , say, for which n / m is again an integer (which is necessarily also a divisor of n ). For example, 3 is a divisor of 21, since 21/3 = 7 …   Wikipedia

• Znám's problem — In number theory, Znám s problem asks which sets of k integers have the property that each integer in the set is a proper divisor of the product of the other integers in the set, plus 1. Znám s problem is named after the Slovak mathematician… …   Wikipedia

• Noetherian ring — In mathematics, more specifically in the area of modern algebra known as ring theory, a Noetherian ring, named after Emmy Noether, is a ring in which every non empty set of ideals has a maximal element. Equivalently, a ring is Noetherian if it… …   Wikipedia

• number theory — Math. the study of integers and their relation to one another. Also called theory of numbers. [1910 15] * * * Branch of mathematics concerned with properties of and relations among integers. It is a popular subject among amateur mathematicians… …   Universalium

• Amicable number — Amicable numbers are two different numbers so related that the sum of the proper divisors of the one is equal to the other, one being considered as a proper divisor but not the number itself. Such a pair is (220, 284); for the proper divisors of… …   Wikipedia

• Untouchable number — An untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer (including the untouchable number itself). For example, the number 4 is not untouchable as it can be made up of the …   Wikipedia

• Mathematical jargon — The language of mathematics has a vast vocabulary of specialist and technical terms. It also has a certain amount of jargon: commonly used phrases which are part of the culture of mathematics, rather than of the subject. Jargon often appears in… …   Wikipedia