On near-perfect numbers

• Autorzy: Min Tang , Xiaoyan Ma , Min Feng
• Języki publikacji: EN

Abstrakty

EN

For a positive integer n, let σ(n) denote the sum of the positive divisors of n. We call n a near-perfect number if σ(n) = 2n + d where d is a proper divisor of n. We show that the only odd near-perfect number with four distinct prime divisors is 3⁴·7²·11²·19².

Kategorie tematyczne

• 11A25: Arithmetic functions; related numbers; inversion formulas

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 144
• Numer: 2
• Strony: 157-188

Daty

wydano

2016

Twórcy

autor

Min Tang

• School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, PR China

autor

Xiaoyan Ma

• School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, PR China

autor

Min Feng

• School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, PR China

Identyfikatory

DOI

10.4064/cm6588-10-2015