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Amicable numbers

In mathematics, the 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 is, s(a)=b and s(b)=a, where s(n)=σ(n) − n is equal to the sum of positive divisors of n except n itself (see also divisor function).

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Regular pairs

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Amicable numbers

Nodes75
Edges74
Triples144
Avg. degree1.97
Density0.026667
Components1

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Amicable numbers

Top relations

related to References in popular culture · 30
Amicable numbers → Alex Galt, American Life, Amicable, Andante, Apeirogon, Are Numbers Real, Brian Clegg, Colum McCann, Denis Guedj, French, Golden, Greek, Heaven Burns Red, Japanese, JRPG Persona, Key, Korean, Malba Tahan, Mathematical Aphrodisiac, Paul Auster's
related to References · 28
Amicable numbers → Amicable Pair, Borislav, Cambridge University Press, Chisholm, Crstici, Curious, Dordrecht, Encyclopædia Britannica, Eric, Euler's Rule, Handbook, Hugh, II, Interesting Numbers, ISBN, Jozsef, Kluwer Academic, Kurrah Rule, London, MathWorld
related to External links · 25
Amicable numbers → Amicable, Angeliki, Archive, Archived, August, Brady Haran, Chernykh, Conjecture, Formal, Formal Proofs, García, Grime, Isabelle/HOL, James, Koutsoukou-Argyraki, MegaFavNumbers, Numberphile, PDF, Pedersen, Report MAS-R0307
related to history · 23
Amicable numbers → Amicable, Arab, Baghdadi, Borho, Descartes, Eastern, Euler, Fermat, Fārisī, Iraqi, It, Majriti, Much, Muhammad Baqir Yazdi, Nicolò, Other Arab, Paganini, Pythagoreans, Qurra, Qurra's
related to Rules for generation · 7
Amicable numbers → Crstici, García, In, Pedersen, Riele, Sándor, While
related to Amicable tuples · 6
Amicable numbers → A036471, A125490, Amicable, For, OEIS, This
related to Other results · 6
Amicable numbers → Also, However, In, It, Paul Erdős, Thabit's
related to Regular pairs · 6
Amicable numbers → A215491, For, If, Let, OEIS, Therefore
related to Euler's rule · 5
Amicable numbers → Euler's, It, Note, Qurra, Thâbit
related to Thābit ibn Qurrah theorem · 5
Amicable numbers → Arab, It, Qurrah, The Thābit, Thābit

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Important terminology

amicable numbers pairs pair known sequence sum 220 284 oeis two number divisors ibn displaystyle proper aliquot even also period

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Amicable numbersrelated to Amicable tuplesAmicable0.60section
Amicable numbersrelated to Amicable tuplesThis0.60section
Amicable numbersrelated to Amicable tuplesFor0.60section
Amicable numbersrelated to Amicable tuplesA1254900.60section
Amicable numbersrelated to Amicable tuplesOEIS0.60section
Amicable numbersrelated to Amicable tuplesA0364710.60section
Amicable numbersrelated to Euler's ruleEuler's0.60section
Amicable numbersrelated to Euler's ruleThâbit0.60section
Amicable numbersrelated to Euler's ruleQurra0.60section
Amicable numbersrelated to Euler's ruleIt0.60section
Amicable numbersrelated to Euler's ruleNote0.60section
Amicable numbersrelated to External linksGarcía0.60section

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