Definition of Amicable numbers. Meaning of Amicable numbers. Synonyms of Amicable numbers

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Definition of Amicable numbers

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. That which was most remarkable in this contest was . . . the amicable manner in which it was managed. --Prideoux. 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. 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.'

Meaning of Amicable numbers from wikipedia

- Amicable numbers are two different natural numbers related in such a way that the sum of the proper divisors of each is equal to the other number. That...
- Betrothed numbers or quasi-amicable numbers are two positive integers such that the sum of the proper divisors of either number is one more than the value...
- sociable numbers are numbers whose aliquot sums form a periodic sequence. They are generalizations of the concepts of perfect numbers and amicable numbers. The...
- Independent Mathematics Search for primes such as 321 primes, Sierpinski numbers, Cullen-Woodall primes, Proth prime, and Sophie Germain primes. Subprojects...
- Thābit ibn Qurra is credited as the first to study these numbers and their relation to amicable numbers. The binary representation of the Thabit number 3·2n−1...
- no specific relationship between the friendly numbers and the amicable numbers or the sociable numbers, although the definitions of the latter two also...
- Italian composer Nicolò Paganini's numbers (c. 1850–?), Italian mathematician who found a pair of amicable numbers Paganini (disambiguation) This disambiguation...
- prime amicable numbers? Are there infinitely many amicable numbers? Are there infinitely many betrothed numbers? Are there infinitely many Giuga numbers? Does...
- in the first pair of amicable numbers with 220. That means that the sum of the proper divisors are the same between the two numbers. 284 can be written...
- equation for determining amicable numbers. His proof of this rule is presented in the Treatise on the Derivation of the Amicable Numbers in an Easy Way. This...