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On Abundancy Index of Some Special Class of Number |
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PP: 37-40 |
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doi:10.18576/sjm/040202
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Author(s) |
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Bhabesh Das,
Helen K. Saikia,
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Abstract |
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| For any positive integer n, abundancy index I(n) is defined as I(n) =
σ (n) n , where
σ (n) is the sum of all positive divisors of n. In this paper, we have discussed non trivial lower and upper bounds of I(n) for some special class of numbers like Quasi perfect numbers, Super hyperperfect numbers, Near perfect numbers and Hyperperfect numbers. |
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