Bi-unitary multiperfect numbers, IV(b)

نویسندگان

چکیده

A divisor d of a positive integer n is called unitary if \gcd(d, n/d)=1; and bi-unitary the greatest common n/d unity. The concept due to D. Surynarayana (1972). Let \sig^{**}(n) denote sum divisors n. multiperfect number \sig^{**}(n)=kn for some k\geq 3. For k=3 we obtain triperfect numbers. Peter Hagis (1987) proved that there are no odd present paper part IV(b) in series papers on even In parts I, II III considered numbers form n=2^{a}u, where 1\leq \leq 6 u odd. IV(a) solved partly case a=7. We n=2^{7}.5^{b}.17^{c}.v, (v, 2.5.17)=1, then b\geq 2. completely b=2. give partial results concerning b\ge 3 under assumption 3\nmid

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ژورنال

عنوان ژورنال: Notes on Number Theory and Discrete Mathematics

سال: 2021

ISSN: ['1310-5132', '2367-8275']

DOI: https://doi.org/10.7546/nntdm.2021.27.1.45-69