The reaction sequence is as follows:
(A) Reacts with KOH to form alkene [B] (Elimination of HBr).
(B) Reacts with Br\(_2\) to give dibromide [C].
(C) Dibromide reacts with NaNH\(_2\) to form [D] (Alkyne formation).
(D) The alkyne [D] undergoes hydration with mercuric sulfate to give [E].
If
$ 2^m 3^n 5^k, \text{ where } m, n, k \in \mathbb{N}, \text{ then } m + n + k \text{ is equal to:} $