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Can you solve this puzzle? Small amount of SBD for answer

This is loosely taken from a puzzle I solved on a game I used to play a while ago (can't find the actual puzzle), bonus points if you guess what game.

A Roman Senator wishes to have the 'perfect army ratio'.

The perfect ratio includes a Equites Caesaris as a leader. For every Equites Caesaris there are 5 Equites Imperatoris. Every Equites Imperatoris is in charge of 25 Equites Legati, which are in charge of 14 Imperians each. For every Imperian there are 300 Praetorians beneath them and every Praetorian has 25 Legionnaires beneath them.

How many men does the Senator need to recruit to have 5 Equites Caesaris in his army?

Simply solve for a super awsome prize of 0.001 SBD (It's a small prize but mainly just for fun.)

First 3 fastest correct answers get the reward and a bonus reward for guessing the game, otherwise the closest answers gets it.

I will say the answer after 3 correct answers or 7days.