highly composite number

名词 n.

英文释义

名词 n.
  1. 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    — In the unpublished section of his notebook, Ramanujan extends the notion of highly composite number to other arithmetic functions, mainly to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#95;#123;2k#125;(N),#92;1#92;lek#92;le 4, where Q#95;#123;2k#125;(N) denotes the number of representations of N as the sum of 2k squares, and to #92;sigma#95;#123;-s#125;(N), where #92;sigma#95;#123;-s#125;(N) denotes the sum of the (-s)th powers of the divisors of N.
  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.

词形变化

highly composite numbers plural

词源

Coined by Indian mathematician Srinivasa Ramanujan in 1915, although it has been suggested that Plato may have known of the concept, since he specified 5040 (a highly composite number) as the ideal number of citizens in a city.
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