Decimation Factor Algorithm for CIC

Hello,

I'm looking for a way to to factor a decimation factor into four stages for 8 different rates ranging from 625 to 27750. Is there a built-in function or an algorithm that I can use? For example 16*16*16*4=16384 which is close for one of the values I need but is still off by almost 2000.

NOTE: I can increase the number of stages if needed but would like to keep it at 6 at the most if possible. The initial factor can go as high as 4096.

Any help would be appreciated.

Thank you,

Tom