highly composite number
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highly composite number
Where it comes from
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.
noun highly composite numbers
- 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 In the unpublished section of his notebook, Ramanujan extends the notion of highly composite number to other arithmetic functions, mainly to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;
- 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.
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noun positive integer with more divisors than any smaller positive integer
| Deutsch | hochzusammengesetzte Zahl |
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Talk about this word "highly composite number." Wiktionary, via Micwyn, micwyn.com/word/highly%20composite%20number. Accessed 6 Nov. 2026. highly composite number. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/highly%20composite%20number "highly composite number." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/highly%20composite%20number.Cite this
@misc{highly_composite_number_2026,
title = {highly composite number},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/highly%20composite%20number},
urldate = {2026-11-06}
}
