6205 is a 62 series designation, while 6310 comes from the 63 series: two separate part numbers, not two ways of writing one. Suffixes split things further. 6205-2RSH and 6205-2Z both start from 6205, yet the ending is what tells them apart, so it belongs in your request.
6004/C3 is built differently: basic number, slash, then an extra block. Copy the marking exactly as it appears, hyphens, slashes and letters included. If you only compare the first digits you can miss a different variant. To confirm a replacement, check the designation against the dimensions of the bearing you removed and where it sat in the machine. One photo of the face will not show all of that.