Highly composite number

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 $\text{[math]}$ is termed a highly composite number if it is a strict maximum-so-far for the divisor count function. In other words, if $\text{[math]}$ denotes the number of divisors of $\text{[math]}$ , then $\text{[math]}$ is highly composite if $\text{[math]}$ for every natural number $\text{[math]}$ .