Crop factor * 1/FL is a good starting point but there are other considerations like:
Are you using any support or just hand holding ?
Does the lens have image stabilisation ?
How good the individual is at holding steady ?
How far you are away from your subject ? (in my experience with birds, the further you are away from the bird then the greater the need for goods support or a faster shutter speed).
I find with my Canon 300/2.8 + 2x tc that I can hand hold at around 1/800 sec and get sharp shots most times but that is with a 2-3 stop I.S. switched on - without the I.S. I would be looking for 1/1600 or even faster !. I am not saying that you could not get sharp shots with slower speeds but to get consistently sharp shots hand held then this is what I would be looking for.
Of course, with a good tripod and head you can get away with much slower shutter speeds.
Just my 2p's worth.