酉完全数是一个数 ,它是其酉除数(不包括
本身)之和。不存在奇酉完全数,并且有人推测偶酉完全数只有有限个。前几个是 6, 60, 90, 87360, 146361946186458562560000, ... (OEIS A002827)。
酉完全数
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参考文献
Guy, R. K. "Unitary Perfect Numbers." §B3 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 53-59, 1994.Sloane, N. J. A. Sequence A002827/M4268 in "The On-Line Encyclopedia of Integer Sequences."Subbarao, M. V. and Warren, L. J. "Unitary Perfect Numbers." Canad. Math. Bull. 9, 147-153, 1966.Wall, C. R. "The Fifth Unitary Perfect Number." Canad. Math. Bull. 18, 115-122, 1975.Wall, C. R. "On the Largest Odd Component of a Unitary Perfect Number." Fib. Quart. 25, 312-316, 1987.在 中被引用
酉完全数引用为
韦斯坦因,埃里克·W. "酉完全数。" 来自 -- Wolfram 网络资源。 https://mathworld.net.cn/UnitaryPerfectNumber.html