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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 A259180 in OEIS).".
- Amicable_numbers wikiPageExternalLink 04143D.pdf.
- Amicable_numbers wikiPageID "3259".
- Amicable_numbers wikiPageLength "11286".
- Amicable_numbers wikiPageOutDegree "59".
- Amicable_numbers wikiPageRevisionID "679890446".
- Amicable_numbers wikiPageWikiLink 220_(number).
- Amicable_numbers wikiPageWikiLink 284_(number).
- Amicable_numbers wikiPageWikiLink Abu_Mansur_al-Baghdadi.
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- Amicable_numbers wikiPageWikiLink Category:Divisor_function.
- Amicable_numbers wikiPageWikiLink Category:Integer_sequences.
- Amicable_numbers wikiPageWikiLink Category:Number_theory.
- Amicable_numbers wikiPageWikiLink Coprime.
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- Amicable_numbers wikiPageWikiLink Denis_Guedj.
- Amicable_numbers wikiPageWikiLink Divisor.
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- Amicable_numbers wikiPageWikiLink Greatest_common_divisor.
- Amicable_numbers wikiPageWikiLink Ibn_Tahir_al-Baghdadi.
- Amicable_numbers wikiPageWikiLink Integer.
- Amicable_numbers wikiPageWikiLink Iran.
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- Amicable_numbers wikiPageWikiLink Kamāl_al-Dīn_al-Fārisī.
- Amicable_numbers wikiPageWikiLink Lemma_(mathematics).
- Amicable_numbers wikiPageWikiLink Leonhard_Euler.
- Amicable_numbers wikiPageWikiLink Maslama_al-Majriti.
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- Amicable_numbers wikiPageWikiLink Mathematics_in_medieval_Islam.
- Amicable_numbers wikiPageWikiLink Muhammad_Baqir_Yazdi.
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- Amicable_numbers wikiPageWikiLink Number.
- Amicable_numbers wikiPageWikiLink Parity_(mathematics).
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- Amicable_numbers wikiPageWikiLink Penguin_Group.
- Amicable_numbers wikiPageWikiLink Perfect_number.
- Amicable_numbers wikiPageWikiLink Periodic_sequence.
- Amicable_numbers wikiPageWikiLink Pierre_de_Fermat.
- Amicable_numbers wikiPageWikiLink Prime_number.
- Amicable_numbers wikiPageWikiLink Product_(mathematics).
- Amicable_numbers wikiPageWikiLink Proper_divisor.
- Amicable_numbers wikiPageWikiLink Pythagoreanism.
- Amicable_numbers wikiPageWikiLink Reginald_Hill.
- Amicable_numbers wikiPageWikiLink René_Descartes.
- Amicable_numbers wikiPageWikiLink Rewrite_(visual_novel).
- Amicable_numbers wikiPageWikiLink Sociable_number.
- Amicable_numbers wikiPageWikiLink Square-free_integer.
- Amicable_numbers wikiPageWikiLink Thabit_number.
- Amicable_numbers wikiPageWikiLink The_Housekeeper_and_the_Professor.
- Amicable_numbers wikiPageWikiLink The_Parrots_Theorem.
- Amicable_numbers wikiPageWikiLink The_Penguin_Dictionary_of_Curious_and_Interesting_Numbers.
- Amicable_numbers wikiPageWikiLink The_Professors_Beloved_Equation.
- Amicable_numbers wikiPageWikiLink The_Professors_Beloved_Equation_(film).
- Amicable_numbers wikiPageWikiLink Thābit_ibn_Qurra.
- Amicable_numbers wikiPageWikiLink Walter_Borho.
- Amicable_numbers wikiPageWikiLink William_Dunham_(mathematician).
- Amicable_numbers wikiPageWikiLink Yoko_Ogawa.
- Amicable_numbers wikiPageWikiLink Yōko_Ogawa.
- Amicable_numbers wikiPageWikiLinkText "Amicable numbers".
- Amicable_numbers wikiPageWikiLinkText "Amicable numbers#Euler's rule".
- Amicable_numbers wikiPageWikiLinkText "Amicable numbers#History".
- Amicable_numbers wikiPageWikiLinkText "Amicable numbers#Thâbit ibn Kurrah rule".
- Amicable_numbers wikiPageWikiLinkText "B. Nicolò I. Paganini".
- Amicable_numbers wikiPageWikiLinkText "amicable numbers".
- Amicable_numbers wikiPageWikiLinkText "amicable pairs".
- 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".
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- Amicable_numbers wikiPageUsesTemplate Template:Distinguish.
- Amicable_numbers wikiPageUsesTemplate Template:Divisor_classes.
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- Amicable_numbers wikiPageUsesTemplate Template:OEIS.
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- Amicable_numbers wikiPageUsesTemplate Template:Wikisource1911Enc.
- Amicable_numbers subject Category:Divisor_function.
- Amicable_numbers subject Category:Integer_sequences.
- Amicable_numbers subject Category:Number_theory.
- Amicable_numbers hypernym Numbers.
- Amicable_numbers type Article.
- Amicable_numbers type Plant.
- Amicable_numbers type Article.