Near-Zumkeller numbers
DOI:
https://doi.org/10.22199/issn.0717-6279-4320Keywords:
perfect numbers, Zumkeller numbers, practical numbers, fermat primesAbstract
A positive integer n is called a Zumkeller number if the set of all the positive divisors of n can be partitioned into two disjoint subsets, each summing to σ(n)/2. In this paper, Generalizing further, near-Zumkeller numbers and k-near-Zumkeller numbers are defined and also some results concerning these numbers are established. Relations of these numbers with practical numbers are also studied in this paper.
References
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Copyright (c) 2022 Harish Patodia, Helen Saikia
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