A highly composite number is a positive integer that has more divisors than any smaller positive integer. If d(n) denotes the number of divisors of n, a positive integer N is highly composite when d(N) is greater than d(n) for every n less than N. For example, 6 is highly composite because it has 4 divisors, more than any of 1 through 5. The first two highly composite numbers, 1 and 2, are not themselves composite numbers, though every highly composite number after them is. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Origin YearRamanujan wrote a paper on highly composite numbers in 1915 Connections
In Branch
Source Wolfram MathWorld: Highly Composite Number
Is Kind Of Object
Sources
1. Highly Composite Number (Wikipedia)
Lead sectionQuote, Lead section
A highly composite number is a positive integer that has more divisors than all smaller positive integers.
Wolfram MathWorld: Highly Composite Number
Wolfram MathWorldIn Branch: Number Theory, Subject classificationsQuote, In Branch: Number Theory, Subject classifications
Number Theory Special Numbers
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