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- Amicable_numbers abstract "Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. (A proper divisor of a number is a positive factor of that number other than the number itself. For example, the proper divisors of 6 are 1, 2, and 3.) A pair of amicable numbers constitutes an aliquot sequence of period 2. A related concept is that of a perfect number, which is a number that equals the sum of its own proper divisors, in other words a number which forms an aliquot sequence of period 1. Numbers that are members of an aliquot sequence with period greater than 2 are known as sociable numbers.For example, the smallest pair of amicable numbers is (220, 284); for the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, of which the sum is 284; and the proper divisors of 284 are 1, 2, 4, 71 and 142, of which the sum is 220.The first few amicable pairs are: (220, 284), (1184, 1210), (2620, 2924), (5020, 5564), (6232, 6368) (sequence A063990 in OEIS).".
- Amicable_numbers wikiPageExternalLink 04143D.pdf.
- Amicable_numbers wikiPageID "3259".
- Amicable_numbers wikiPageRevisionID "605030263".
- Amicable_numbers author "Weisstein, Eric W.".
- Amicable_numbers hasPhotoCollection Amicable_numbers.
- Amicable_numbers title "Amicable Pair".
- Amicable_numbers title "Euler's Rule".
- Amicable_numbers title "Thâbit ibn Kurrah Rule".
- Amicable_numbers urlname "AmicablePair".
- Amicable_numbers urlname "EulersRule".
- Amicable_numbers urlname "ThabitibnKurrahRule".
- Amicable_numbers subject Category:Divisor_function.
- Amicable_numbers subject Category:Integer_sequences.
- Amicable_numbers subject Category:Number_theory.
- Amicable_numbers type Abstraction100002137.
- Amicable_numbers type Arrangement107938773.
- Amicable_numbers type Group100031264.
- Amicable_numbers type IntegerSequences.
- Amicable_numbers type Ordering108456993.
- Amicable_numbers type Sequence108459252.
- Amicable_numbers type Series108457976.
- Amicable_numbers comment "Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. (A proper divisor of a number is a positive factor of that number other than the number itself. For example, the proper divisors of 6 are 1, 2, and 3.) A pair of amicable numbers constitutes an aliquot sequence of period 2.".
- Amicable_numbers label "Amicable numbers".
- Amicable_numbers label "Befreundete Zahlen".
- Amicable_numbers label "Bevriende getallen".
- Amicable_numbers label "Liczby zaprzyjaźnione".
- Amicable_numbers label "Nombre amical".
- Amicable_numbers label "Numeri amicabili".
- Amicable_numbers label "Número amigável".
- Amicable_numbers label "Números amigos".
- Amicable_numbers label "Дружественные числа".
- Amicable_numbers label "أعداد صديقة".
- Amicable_numbers label "友愛数".
- Amicable_numbers label "相亲数".
- Amicable_numbers sameAs Spřátelená_čísla.
- Amicable_numbers sameAs Befreundete_Zahlen.
- Amicable_numbers sameAs Números_amigos.
- Amicable_numbers sameAs Zenbaki_lagun.
- Amicable_numbers sameAs Nombre_amical.
- Amicable_numbers sameAs Numeri_amicabili.
- Amicable_numbers sameAs 友愛数.
- Amicable_numbers sameAs 친화수.
- Amicable_numbers sameAs Bevriende_getallen.
- Amicable_numbers sameAs Liczby_zaprzyjaźnione.
- Amicable_numbers sameAs Número_amigável.
- Amicable_numbers sameAs m.014vw.
- Amicable_numbers sameAs Q117927.
- Amicable_numbers sameAs Q117927.
- Amicable_numbers sameAs Amicable_numbers.
- Amicable_numbers wasDerivedFrom Amicable_numbers?oldid=605030263.
- Amicable_numbers isPrimaryTopicOf Amicable_numbers.