On k-Facile Perfect Numbers
subject: Facile-perfect number; Near-perfect number; Perfect number
description: For a positive integer n, let ?(n) denote the sum of all positive divisors of n. Then n is said to be a k-facile perfect number if ?(n) = 2n + d1d2 dk, where 1 < d1, d2,, dk < n are distinct divisors of n. This paper characterizes k-facile perfect numbers and establishes their relationships with other special numbers. The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.
creator: Flora, Jeba S.; Roy, Anirban; Saikia, Manjil P.
source: Springer Proceedings in Mathematics and Statistics;Volume;474;pp.111-121
publisher: Springer
date: 01-01-2025
rights: Restricted Access; Hardcopy may be available in the library
relation: ISSN: 21941009; ISBN: 978-981976797-7;
language: English
type: Conference paper
coverage: Flora J.S., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India; Roy A., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bangalore, India; Saikia M.P., Mathematical and Physical Sciences Division, School of Arts and Sciences, Ahmedabad University, Gujarat, Navrangpura, Ahmedabad, 380009, India