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- Multiply_perfect_number abstract "In mathematics, a multiply perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural number k, a number n is called k-perfect (or k-fold perfect) if and only if the sum of all positive divisors of n (the divisor function, σ(n)) is equal to kn; a number is thus perfect if and only if it is 2-perfect. A number that is k-perfect for a certain k is called a multiply perfect number. As of 2014, k-perfect numbers are known for each value of k up to 11.It can be proven that: For a given prime number p, if n is p-perfect and p does not divide n, then pn is (p+1)-perfect. This implies that an integer n is a 3-perfect number divisible by 2 but not by 4, if and only if n/2 is an odd perfect number, of which none are known. If 3n is 4k-perfect and 3 does not divide n, then n is 3k-perfect.↑".
- Multiply_perfect_number wikiPageExternalLink 275.
- Multiply_perfect_number wikiPageExternalLink mpn.html.
- Multiply_perfect_number wikiPageExternalLink page.php?sort=MultiplyPerfect.
- Multiply_perfect_number wikiPageID "321801".
- Multiply_perfect_number wikiPageLength "5622".
- Multiply_perfect_number wikiPageOutDegree "21".
- Multiply_perfect_number wikiPageRevisionID "668793896".
- Multiply_perfect_number wikiPageWikiLink 120_(number).
- Multiply_perfect_number wikiPageWikiLink 1_(number).
- Multiply_perfect_number wikiPageWikiLink 6_(number).
- Multiply_perfect_number wikiPageWikiLink Category:Integer_sequences.
- Multiply_perfect_number wikiPageWikiLink Divisor.
- Multiply_perfect_number wikiPageWikiLink Divisor_function.
- Multiply_perfect_number wikiPageWikiLink George_Woltman.
- Multiply_perfect_number wikiPageWikiLink If_and_only_if.
- Multiply_perfect_number wikiPageWikiLink Mathematics.
- Multiply_perfect_number wikiPageWikiLink Mathematics_Magazine.
- Multiply_perfect_number wikiPageWikiLink Natural_number.
- Multiply_perfect_number wikiPageWikiLink Paul_Poulet.
- Multiply_perfect_number wikiPageWikiLink Perfect_number.
- Multiply_perfect_number wikiPageWikiLink Prime_number.
- Multiply_perfect_number wikiPageWikiLink René_Descartes.
- Multiply_perfect_number wikiPageWikiLink Robert_Daniel_Carmichael.
- Multiply_perfect_number wikiPageWikiLink Springer-Verlag.
- Multiply_perfect_number wikiPageWikiLink Springer_Science+Business_Media.
- Multiply_perfect_number wikiPageWikiLinkText "Multiply perfect number".
- Multiply_perfect_number wikiPageWikiLinkText "Multiply perfect number#Triperfect numbers".
- Multiply_perfect_number wikiPageWikiLinkText "multiply perfect number".
- Multiply_perfect_number hasPhotoCollection Multiply_perfect_number.
- Multiply_perfect_number wikiPageUsesTemplate Template:Citation.
- Multiply_perfect_number wikiPageUsesTemplate Template:Citation_needed.
- Multiply_perfect_number wikiPageUsesTemplate Template:Cite_book.
- Multiply_perfect_number wikiPageUsesTemplate Template:Cite_journal.
- Multiply_perfect_number wikiPageUsesTemplate Template:Cite_web.
- Multiply_perfect_number wikiPageUsesTemplate Template:Classes_of_natural_numbers.
- Multiply_perfect_number wikiPageUsesTemplate Template:Divisor_classes.
- Multiply_perfect_number wikiPageUsesTemplate Template:Main.
- Multiply_perfect_number wikiPageUsesTemplate Template:OEIS.
- Multiply_perfect_number wikiPageUsesTemplate Template:Reflist.
- Multiply_perfect_number subject Category:Integer_sequences.
- Multiply_perfect_number hypernym Generalization.
- Multiply_perfect_number type Combinatoric.
- Multiply_perfect_number type Integer.
- Multiply_perfect_number comment "In mathematics, a multiply perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural number k, a number n is called k-perfect (or k-fold perfect) if and only if the sum of all positive divisors of n (the divisor function, σ(n)) is equal to kn; a number is thus perfect if and only if it is 2-perfect. A number that is k-perfect for a certain k is called a multiply perfect number.".
- Multiply_perfect_number label "Multiply perfect number".
- Multiply_perfect_number sameAs Multiplika_perfekta_nombro.
- Multiply_perfect_number sameAs Moninkertaisesti_täydellinen_luku.
- Multiply_perfect_number sameAs Nombre_parfait_multiple.
- Multiply_perfect_number sameAs מספר_רב_משוכלל.
- Multiply_perfect_number sameAs Numero_moltiplicativamente_perfetto.
- Multiply_perfect_number sameAs 倍積完全数.
- Multiply_perfect_number sameAs m.01vlym.
- Multiply_perfect_number sameAs Multiperfekt_tal.
- Multiply_perfect_number sameAs Q1755843.
- Multiply_perfect_number sameAs Q1755843.
- Multiply_perfect_number sameAs 多重完全數.
- Multiply_perfect_number wasDerivedFrom Multiply_perfect_number?oldid=668793896.
- Multiply_perfect_number isPrimaryTopicOf Multiply_perfect_number.