# Number of Divisors

**Number Theory**Level 4

Find the smallest number N such that:

The number of divisors of N is A.

The number of divisors of A is B.

The number of divisors of B is C.

The number of divisors of C is 3.

**Details and assumptions**

The divisors include \(1\) and the number itself. For example, the number of divisors of \(10\) is \(4\).

You may read Divisors of an Integer to learn how to count the number of divisors of a given integer.