English Dictionary

highly composite number

名詞

(number theory) A positive integer that has more divisors than any smaller positive integer.

日本語の意味

任意の正の整数よりも小さい各正の整数が持つ約数の個数よりも、より多くの正の約数を持つ正の整数。

The mathematician explained that 12 is a highly composite number because it has more divisors than any smaller positive integer.

数学者は、12がそれより小さいどの正の整数よりも約数が多い正の整数であると説明した。

意味（1）

(number theory) A positive integer that has more divisors than any smaller positive integer.

In the unpublished section of his notebook, Ramanujan extends the notion of highly composite number to other arithmetic functions, mainly to Q_2k(N),1<k<4, where Q_2k(N) denotes the number of representations of N as the sum of 2k squares, and to 𝜎₋ₛ(N), where 𝜎₋ₛ(N) denotes the sum of the (-s)th powers of the divisors of N.

意味（2）

Used other than figuratively or idiomatically: see highly, composite number; A positive integer that has a relatively large number of divisors.

This factorization becomes particularly simple and economical when N is a highly composite number, in particular a power of 2.

highly composite numbers （ plural ）