Journal of Integer Sequences, Vol. 28 (2025), Article 25.4.2

Generalizations of Amicable Numbers


Stoyan Dimitrov
Faculty of Applied Mathematics and Informatics
Technical University of Sofia
Blvd. St. Kliment Ohridski 8
Sofia 1000
Bulgaria
and
Institute of Biophysics and Biomedical Engineering
Bulgarian Academy of Sciences
Acad. G. Bonchev Str. Bl. 105
Sofia 1113
Bulgaria

Abstract:

In this paper we propose new generalizations of amicable numbers. We also give examples and prove properties of these new concepts.

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(Concerned with sequences A383239 A383483 A383484 A383714 A383932 A383964 A384255 A384411 A384487 A384706 A384814 A385008 A385155 A385186 A385325 A385356 A385397 A385492 A385531 A385586 A385718 A385739 A385740 A385749 A386010 A386378.)

Received August 15 2024; revised versions August 16 2024; July 28 2025; July 30 2025. Published in Journal of Integer Sequences, August 1 2025.

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