Where n is an integer greater than 2; $\mathrm { A } ( \mathrm { n } )$ is defined as the product of the prime divisors of the number n.
Accordingly, what is the sum of the digits of the smallest three-digit number n that satisfies the equation $\mathbf { A } ( \mathbf { n } ) = \mathbf { 6 }$?
A) 8
B) 9
C) 10
D) 12
E) 15