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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