Last Updated :2025/12/04

superabundant number

Noun
Japanese Meaning
(数論)すべての正の整数の中で、その数よりも小さい任意の正の整数と比べたとき、約数の和をその数で割った値(豊富さ指数)がより大きい正の整数。
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約数関数に関する論文を書いているときに、12がそれより小さいどの正の整数よりも豊富度指数(アバンダンシー指数)が大きい正の整数であることに気づきました。

plural

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(number theory) A positive integer whose abundancy index is greater than that of any lesser positive integer. / Used other than figuratively or idiomatically: see superabundant, number.

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superabundant number

While writing a paper on divisor functions, I noted that 12 is a superabundant number with an abundancy index larger than that of any smaller positive integer.

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While writing a paper on divisor functions, I noted that 12 is a superabundant number with an abundancy index larger than that of any smaller positive integer.

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