Journal of University of Science and Technology of China ›› 2019, Vol. 49 ›› Issue (9): 704-710.DOI: 10.3969/j.issn.0253-2778.2019.09.003
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Abstract: Let ρ be a multiplicative arithmetic function defined by ρ(pα)=pα-pα-1+pα-2-…+(-1)α for every prime power pα. For a positive integer n, n is called a near-imperfect number if 2ρ(n)=n+d where d is a proper divisor of n. Here all near-imperfect numbers with two distinct prime divisors were obtained.
Key words: near-imperfect number, prime divisor, multiplicative arithmetic function
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URL: http://just-cn.ustc.edu.cn/EN/10.3969/j.issn.0253-2778.2019.09.003
http://just-cn.ustc.edu.cn/EN/Y2019/V49/I9/704