# Category:Definitions/Aliquot Sequences

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This category contains definitions related to Aliquot Sequences.

Related results can be found in Category:Aliquot Sequences.

Let $m$ be a positive integer.

Let $\map s m$ be the aliquot sum of $m$.

Define the sequence $\sequence {a_k}$ recursively as:

- $a_{k + 1} = \begin{cases} m & : k = 0 \\ \map s {a_k} & : k > 0 \end{cases}$

The sequence $\sequence {a_k}$ is known as an **aliquot sequence**.

## Subcategories

This category has only the following subcategory.

### S

## Pages in category "Definitions/Aliquot Sequences"

The following 4 pages are in this category, out of 4 total.