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Let $b \in \Z_{>1}$ be an integer greater than $1$.

Let $m$ be an integer expressed in base $b$.

An anagram base $b$ of $m$ is an integer formed by the digits of $m$ written in a different order.

When the number base of $m$ is not specified, base $10$ is assumed.

Also see

  • Results about anagrams can be found here.

Origin of Term

The word anagram in this context was coined by $\mathsf{Pr} \infty \mathsf{fWiki}$ as an extension of its use in natural language to shorten the unbearably unwieldy term integer formed from a permutation of the digits.