# Amicable numbers

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Amicable numbers
Amicable Am"i*ca*ble, a. [L. amicabilis, fr. amicus friend, fr. amare to love. See {Amiable}.] Friendly; proceeding from, or exhibiting, friendliness; after the manner of friends; peaceable; as, an amicable disposition, or arrangement. [1913 Webster]

That which was most remarkable in this contest was . . . the amicable manner in which it was managed. --Prideoux. [1913 Webster]

{Amicable action} (Law.), an action commenced and prosecuted by amicable consent of the parties, for the purpose of obtaining a decision of the court on some matter of law involved in it. --Bouvier. --Burrill.

{Amicable numbers} (Math.), two numbers, each of which is equal to the sum of all the aliquot parts of the other. [1913 Webster]

Syn: Friendly; peaceable; kind; harmonious.

Usage: {Amicable}, {Friendly}. Neither of these words denotes any great warmth of affection, since friendly has by no means the same strength as its noun friendship. It does, however, imply something of real cordiality; while amicable supposes very little more than that the parties referred to are not disposed to quarrel. Hence, we speak of amicable relations between two countries, an amicable adjustment of difficulties. ``Those who entertain friendly feelings toward each other can live amicably together.'' [1913 Webster]

The Collaborative International Dictionary of English. 2000.

### Look at other dictionaries:

• amicable numbers — plural noun (mathematics) see ↑friendly numbers under ↑friend • • • Main Entry: ↑amicable …   Useful english dictionary

• 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

• 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 — Am i*ca*ble, a. [L. amicabilis, fr. amicus friend, fr. amare to love. See {Amiable}.] Friendly; proceeding from, or exhibiting, friendliness; after the manner of friends; peaceable; as, an amicable disposition, or arrangement. [1913 Webster] That …   The Collaborative International Dictionary of English

• Amicable action — Amicable Am i*ca*ble, a. [L. amicabilis, fr. amicus friend, fr. amare to love. See {Amiable}.] Friendly; proceeding from, or exhibiting, friendliness; after the manner of friends; peaceable; as, an amicable disposition, or arrangement. [1913… …   The Collaborative International Dictionary of English

• amicable number — noun Either of a pair of amicable numbers …   Wiktionary

• 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

• friendly numbers — plural noun (mathematics) Pairs of numbers each of which is the sum of the factors of the other, including unity (also called amicable numbers; cf ↑perfect number) • • • Main Entry: ↑friend …   Useful english dictionary

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• 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