Well, that’s all well “spoken”, I guess, but I think we should all get off our epicycles and recycle, or at least re"tire" this sadly abraded thread before we go over the handlebars.
Using the formula where (p*3)+ 3, then an equivalent system for cycle wheel determination might be p + 1. A unicycle would have 1 + 1 = 2 wheels. A bicycle would have 2 + 1 = 3 wheels. Etc. Okay, it’s a stretch, it’s just showing that if the prefix is to designate something to do with a numeral count, it is nice to have that numeral count actually match the meaning of the prefix.
From meriam-webster’s online dictionary, the word million comes ultimately from “from Old Italian milione, augmentative of mille thousand, from Latin”. In other words, the “M” in milion comes from thousand, not one. So what we have in the American system is: