ON NEAR Fk-PERFECT AND DEFICIENT Fk-PERFECT NUMBERS

Title

ON NEAR Fk-PERFECT AND DEFICIENT Fk-PERFECT NUMBERS

Creator

Flora, Jeba S.; Roy, Anirban; Mahanta, Pankaj Jyoti; Saikia, Manjil P.

Description

For a positive integer n, the arithmetic function ?2(n) denotes the sum of squares of all the divisors of n. A positive integer n is called an F-perfect number if ?2(n) ? n2 = 3n. A positive integer n is termed a near F-perfect number if ?2(n) ? n2 ? d2 = 3n, where d is a proper divisor of n. Similarly, n is considered a deficient F-perfect number if ?2(n) ? n2 + d2 = 3n, where d is a proper divisor of n. In this paper, we discuss several characterizations of these numbers, establish their relations with other significant numbers, and generalize the near-perfect and deficient-perfect numbers. 2025, Colgate University. All rights reserved.

Source

Integers;Volume;25;Issue;;Article No.;A86;

Date

01-01-2025

Publisher

Colgate University

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; Mahanta P.J., Department of Mathematical Sciences, Tezpur University, Assam, Napaam, India; Saikia M.P., Mathematical and Physical Sciences division, School of Arts and Sciences, Ahmedabad University, Navrangpura, Gujarat, Ahmedabad, India

Rights

Restricted Access; Hardcopy may be available in the library

Relation

ISSN: 15531732;

Format

online

Language

English

Type

Article

Identifier

https://doi.org/10.5281/zenodo.17144463

https://www.scopus.com/pages/publications/105017153072?origin=resultslist