Editing Aliquot sequence (section)

{{short description|Mathematical recursive sequence}}
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{{unsolved|mathematics|Do all aliquot sequences eventually end with a prime number, a perfect number, or a set of amicable or sociable numbers? (Catalan's aliquot sequence conjecture)}}
In [[mathematics]], an '''aliquot sequence''' is a sequence of positive integers in which each term is the sum of the [[proper divisor]]s of the previous term. If the sequence reaches the number 1, it ends, since the sum of the proper divisors of 1 is 0.