# Definition:Special Highly Composite Number

## Definition

A special highly composite number is a highly composite number which is a divisor of all larger highly composite numbers.

### Sequence

The sequence of special highly composite numbers consists of:

$1, 2, 6, 12, 60, 2520$

## Examples

### $1$ is a Special Highly Composite Number

$1$ is a special highly composite number, being a highly composite number which is a divisor of all larger highly composite numbers.

### $2$ is a Special Highly Composite Number

$2$ is a special highly composite number, being a highly composite number which is a divisor of all larger highly composite numbers.

### $6$ is a Special Highly Composite Number

$6$ is a special highly composite number, being a highly composite number which is a divisor of all larger highly composite numbers.

### $12$ is a Special Highly Composite Number

$12$ is a special highly composite number, being a highly composite number which is a divisor of all larger highly composite numbers.

### $60$ is a Special Highly Composite Number

$60$ is a special highly composite number, being a highly composite number which is a divisor of all larger highly composite numbers.

### $2520$ is a Special Highly Composite Number

$2520$ is a special highly composite number, being a highly composite number which is a divisor of all larger highly composite numbers.