# Refactorable number

From Number

This article defines a property that can be evaluated for a natural number, i.e., every natural number either satisfies the property or does not satisfy the property.

View a complete list of properties of natural numbers

## Definition

A natural number is termed **refactorable** if the value of the divisor count function (i.e., the number of positive divisors) divides .

## Occurrence

The ID of the sequence in the Online Encyclopedia of Integer Sequences is A033950

### Initial values

The first few refactorable numbers are .

## Facts

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