Question 9
A positive integer $n>1$ is called an interesting number if it satisfies the property:
If $p$ is a prime divisor of $n$, then $2p+1$ is a divisor of $n$.
Find the total number of positive divisors of the smallest interesting number.
If $p$ is a prime divisor of $n$, then $2p+1$ is a divisor of $n$.
Find the total number of positive divisors of the smallest interesting number.