If an aliquot sequence for a given is bounded, it either ends at or becomes periodic. If the sequence is periodic (or eventually periodic), it is known as an aliquot cycle. An aliquot cycle may correspond to a perfect number (period length 1), aspiring number (eventual period length 1), amicable pair (eventual period length 2), or sociable numbers (eventual period length ).
Aliquot Cycle
See also
Aliquot Sequence, Amicable Pair, Sociable NumbersExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Aliquot Cycle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AliquotCycle.html