Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Refactorable_number> ?p ?o. }
Showing items 1 to 27 of
27
with 100 items per page.
- Refactorable_number abstract "A refactorable number or tau number is an integer n that is divisible by the count of its divisors, or to put it algebraically, n is such that . The first few refactorable numbers are listed in (sequence A033950 in OEIS) 1, 2, 8, 9, 12, 18, 24, 36, 40, 56, 60, 72, 80, 84, 88, 96. For example, 18 has 6 divisors (1 and 18, 2 and 9, 3 and 6) and is divisible by 6.Cooper and Kennedy proved that refactorable numbers have natural density zero. Zelinsky proved that no three consecutive integers can all be refactorable. Colton proved that no refactorable number is perfect. The equation GCD(n, x) = τ(n) has solutions only if n is a refactorable number.There are still unsolved problems regarding refactorable numbers. Colton asked if there are there arbitrarily large n such that both n and n + 1 are refactorable. Zelinsky wondered if there exists a refactorable number , does there necessarily exist such that n is refactorable and .".
- Refactorable_number wikiPageID "5482655".
- Refactorable_number wikiPageRevisionID "557575155".
- Refactorable_number hasPhotoCollection Refactorable_number.
- Refactorable_number subject Category:Integer_sequences.
- Refactorable_number type Abstraction100002137.
- Refactorable_number type Arrangement107938773.
- Refactorable_number type Group100031264.
- Refactorable_number type IntegerSequences.
- Refactorable_number type Ordering108456993.
- Refactorable_number type Sequence108459252.
- Refactorable_number type Series108457976.
- Refactorable_number comment "A refactorable number or tau number is an integer n that is divisible by the count of its divisors, or to put it algebraically, n is such that . The first few refactorable numbers are listed in (sequence A033950 in OEIS) 1, 2, 8, 9, 12, 18, 24, 36, 40, 56, 60, 72, 80, 84, 88, 96. For example, 18 has 6 divisors (1 and 18, 2 and 9, 3 and 6) and is divisible by 6.Cooper and Kennedy proved that refactorable numbers have natural density zero.".
- Refactorable_number label "Nombre refactorisable".
- Refactorable_number label "Numero rifattorizzabile".
- Refactorable_number label "Número refactorizable".
- Refactorable_number label "Refactorable number".
- Refactorable_number label "Тау-число".
- Refactorable_number sameAs Número_refactorizable.
- Refactorable_number sameAs Nombre_refactorisable.
- Refactorable_number sameAs Numero_rifattorizzabile.
- Refactorable_number sameAs m.0dntvl.
- Refactorable_number sameAs Q2063121.
- Refactorable_number sameAs Q2063121.
- Refactorable_number sameAs Refactorable_number.
- Refactorable_number wasDerivedFrom Refactorable_number?oldid=557575155.
- Refactorable_number isPrimaryTopicOf Refactorable_number.