Before June 1957, S&W identified their revolvers by name, Military and Police, Chiefs Special, etc.
In 1957 the M&P revolver became the Model 10. From Models 10-19, this identified a K frame revolver in .38, .357, .32. or .22 Caliber. It also include the alloy K frames.
N frames generally fell into the 20-29 numbering. This included .357 magnum, .44, .45 calibers. However, all the numbers were used up when the .41 Magnum was brought out, and it got the model number 57.
There were I and J frames, generally keeping within the 30's and 40's, the exception being the Model 39, 9mm semiauto.
When the stainless steel models were introduced they were given a first digit of "6" - Model 63, 64, 65, 66, 67, 640, 649.
When the L frame was brought out, they prefixed carbon steel with a "5" (581, 586, etc.).
When the lighter alloy frames came out, and they became a bit more exotic in composition (titanium, scandium), the numbers got even more complicated "3" and "4" prefixes.
It's typical, that no company not even S&W, can forecast what materials and models may be out there in the future. So numbering gets confusing over time.
To get a good read on the subject, you really should get the Standard Catalog of Smith & Wesson, 3rd Edition. It provides a great reference for sorting out these things.