# amicable number

amicable number
Either of a pair of amicable numbers

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• 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

• amicable number — Math. either of a pair of positive integers in which each member is equal to the sum of the submultiples of the other, as 220 and 284. * * * …   Universalium

• amicable number — noun : either of two numbers each of which is equal to the sum of all the submultiples of the other * * * Math. either of a pair of positive integers in which each member is equal to the sum of the submultiples of the other, as 220 and 284 …   Useful english dictionary

• 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

• Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… …   Wikipedia

• amicable numbers — noun A pair of numbers having the property that the sum of the divisors of each, excluding itself, is equal to the other number. The factors of 220, excluding 220 itself, are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110 and sum to 284; the factors… …   Wiktionary

• 10000 (number) — Number number = 10000 prev = 9999 next = 100000 range = 10000 100000 cardinal = 10000 ordinal = th ordinal text = ten thousandth numeral = decamillesimal factorization = 2^4 cdot 5^4 prime = divisor = roman = overline|X unicode = overline|X, ↂ… …   Wikipedia

• 60000 (number) — Number number = 60000 range = 10000 100000 cardinal = 60000 ordinal = th ordinal text = sixty thousandth factorization = 2^5 cdot 3 cdot 5^4 bin = 1110101001100000 oct = 165140 hex = EA6060,000 (sixty thousand) is the number that comes after… …   Wikipedia

• 70000 (number) — Number number = 70000 range = 10000 100000 cardinal = 70000 ordinal = th ordinal text = seventy thousandth factorization = 2^4 cdot 5^4 cdot 7 bin = 10001000101110000 oct = 210560 hex = 1117070,000 (seventy thousand) is the number that comes… …   Wikipedia

• Sociable number — Sociable numbers are generalizations of the concepts of amicable numbers and perfect numbers. A set of sociable numbers is a kind of aliquot sequence, or a sequence of numbers each of whose numbers is the sum of the factors of the preceding… …   Wikipedia