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On Near 3−Perfect Numbers |
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PP: 1-5 |
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doi:10.18576/sjm/040101
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Author(s) |
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Bhabesh Das,
Helen K. Saikia,
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Abstract |
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| We call a positive integer n be a near 3−perfect number if
σ (n) = 3n+d, where
σ (n) is the divisor function and d is a
proper divisor of n. In this paper, we have derived all near 3−perfects of the form 2 α
pt 1p2, where p1 and p2 are distinct odd primes
with p1 < p2 and
α
≥ 1, 1 ≤ t ≤ 2. There are only ten such numbers. Moreover, we have also obtained some examples of even near 3−perfect numbers with four distinct prime factors. |
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