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Joe, explained here >>> https://aimingexpert.com/what-do-scope-numbers-mean-a-brief-and-simple-guide/

Joe, the major difference is the variable power. At the lowest setting the 3x magnifies 3 times and the 6x magnifies 6 times which is twice the magnification at the lowest setting. At the 12x and 18x max setting the 18x gives you a 3rd more magnification which will yield a larger object picture but a narrower field of view for more precision shots. I would recommend the 6-18 x 40 for the 17 Savage which is a flat shooting cartridge. Cheers and stay safe!