Número quasiperfeito

Em matemática, um número quasiperfeito é um número natural n para o qual a soma de todos os seus divisores (a função divisor σ (n)) é igual a 2 n + 1. Equivalentemente, n é a soma de seus divisores não triviais (ou seja, seus divisores excluindo 1 e n ). Nenhum número quase perfeito foi encontrado até agora.

Teoremas

Se existir um número quasiperfeito, ele deve ser um número quadrado ímpar maior que 1035 e ter pelo menos sete fatores primos distintos. [1]

Notas

  1. ↑ Hagis, Peter; Cohen, Graeme L. (1982). «Some results concerning quasiperfect numbers». J. Austral. Math. Soc. Ser. A. 33 (2): 275–286. MR 0668448. doi:10.1017/S1446788700018401Acessível livremente 

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