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On the opposite extreme from a [[prime]] number is a '''highly composite number'''. A prime has the least quantity of factors, namely two. A highly composite number is one which has a greater number of factors than any smaller number. In other words, a highly composite number '''''initiates''''' an ''increase'' in quantity of factors over that of any lesser number.

On the opposite extreme from a [[prime]] number is a '''highly composite number'''.

 

Along with a [[composite number]], a highly composite number is one of two types of number that is the opposite of a prime number. A composite number is the ''general'' opposite to a prime. A highly composite number (HCN) is the special opposite of a prime. The set of HCNs is a subset of composite number, specifically by being made of the type of composite number that has more factors than any number both lesser than itself and lesser than its higher HCN neighbor.

 

A prime has the least quantity of factors, namely two. A highly composite number is a number that  '''''initiates''''' an ''increase'' in quantity of factors over that of any lesser number.

For example, 120 has more factors than any smaller number, and also has more factors than numbers lesser than 180. 180, in turn, has an additional two more factors than 120. And 180 has more factors than numbers less than 240. And 240 has more factors than numbers lesser than 360.

For example, 120 has more factors than any smaller number, and also has more factors than numbers lesser than 180. 180, in turn, has an additional two more factors than 120. And 180 has more factors than numbers less than 240. And 240 has more factors than numbers lesser than 360.