Question 29
Distinct primes $p_1,\ldots,p_n$ form the bottom row of the triangular table. Each box above contains the product of its two adjacent lower boxes. The top entry is $K=p_1^{\alpha_1}\cdots p_n^{\alpha_n}$. If $\alpha_2=9$, how many entries in the whole table are divisible by $p_4$?
