Welcome to the board! I have a 4416 myself and it was actually my first "old" outboard that I rebuilt. The part # you listed isn’t the original for the sportsman but if it fits I would run with it, it is probably just off of a different year or maybe a ranger? The internals should be the same though. If you have anymore questions about your motor feel free to ask.
And just for fun a before and after pic of my Sportsman.
