highly composite numbers

Noun

highly composite number (plural highly composite numbers)

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   • In the unpublished section of his notebook, Ramanujan extends the notion of highly composite number to other arithmetic functions, mainly to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...2012, George E. Andrews, Bruce C. Berndt, Ramanujan's Lost Notebook, Part III, Springer, page 359

   Synonyms:

   HCN, antiprime

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 2.1995, Bengt Fornberg, A Practical Guide to Pseudospectral Methods, Paperback edition, Cambridge University Press, published 1998, page 176