Vipul: Created page with '{{natural number property}} ==Definition== A natural number $n$ is termed '''refactorable''' if the value of the defining ingredient::divisor count function ...'

2009-05-02T22:15:06Z

Created page with '{{natural number property}} ==Definition== A natural number <math>n</math> is termed '''refactorable''' if the value of the defining ingredient::divisor count function ...'

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{{natural number property}}

==Definition==

A [[natural number]] <math>n</math> is termed '''refactorable''' if the value of the [[defining ingredient::divisor count function]] (i.e., the number of positive divisors) <math>\sigma_0(n)</math> divides <math>n</math>.

==Occurrence==

{{oeis|A033950}}

===Initial values===

The first few refactorable numbers are <math>1,2,8,9,12,18,24,36,\dots</math>.

==Facts==

* [[There do not exist three consecutive refactorable numbers]] (this was conjectured by Colton and proved by Ore).

Refactorable number - Revision history

Vipul: Created page with '{{natural number property}} ==Definition== A natural number n is termed '''refactorable''' if the value of the defining ingredient::divisor count function ...'

Vipul: Created page with '{{natural number property}} ==Definition== A natural number $n$ is termed '''refactorable''' if the value of the defining ingredient::divisor count function ...'