Facile-perfect number; Near-perfect number; Perfect number
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.
Flora, Jeba S.; Roy, Anirban; Saikia, Manjil P.
Springer Proceedings in Mathematics and Statistics;Volume;474;pp.111-121
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https://doi.org/10.1007/978-981-97-6798-4_9 https://www.scopus.com/pages/publications/85218939286?origin=resultslist
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