一类near-perfect数的性质

The Characteristics of a Class of Near-Perfect Numbers

设p_1,p_2,…,p_k为相异的奇素数,n_1,n_2,…,n_k均为偶数.在参考文献的基础上,利用数论的相关方法,讨论了形如2~αp_1^(n1)p_2^(n2)…p_k^(nk)的near-perfect数的一些性质.作为推论,获得了形如2~αp_1~2p_2~2的near-perfect数的冗余因子d的一些结论.

Let P1, P2, , Pk be distinct odd primes, and let n1 , n2, , nk are all even numbers. On the basis of the referenced literature, using the relevant methods in number theory, this discusses the near-perfect numbers form such as 2~αp_1^（n1）p_2^（n2）…p_k^（nk）. As a corollary,some conclusions of the redundant divisor of the form such as 2~αp_1~2p_2~2 of near-perfect numbers are given.