Aliquot sequence | Aliquot chain (inglés)
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Definición Nivel 2
For a given number, we can form an aliquot sequence by summing the number's divisors (excluding itself) to form a new number, and then repeating this process indefinitely.
For some starting numbers the aliquot sequence will eventually cycle (such a cycle is called a sociable chain), for some it will increase, apparently forever. It is not known whether any aliquot sequences actually increase without limit.
For example, it is not known what the aliquot chain starting at 276 does in the long run.
For some starting numbers the aliquot sequence will eventually cycle (such a cycle is called a sociable chain), for some it will increase, apparently forever. It is not known whether any aliquot sequences actually increase without limit.
For example, it is not known what the aliquot chain starting at 276 does in the long run.
Relaciones
- Más general:
- (en) Integer with special properties
- (en) Sequence
- Más específico:
- (en) Sociable chain
Financiado por: Socrates Minerva UE, HeyMath!, Cambridge University Press