Highly composite number

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This article defines a property that can be evaluated for a natural number, i.e., every natural number either satisfies the property or does not satisfy the property.
View a complete list of properties of natural numbers

Definition

A natural number is termed a highly composite number if it is a strict maximum-so-far for the divisor count function. In other words, if denotes the number of divisors of , then is highly composite if for every natural number .

Relation with other properties