If you pick 3, you end up with 1 after getting to 10 then 5 then 16 then 8 then 4 then 2 then 1. If you pick 14, you get 7 then 22 then 11 then 34 then 17 then 52 then 26 then 13 then 40 then 20 then 10 then 5 then 16 then 8 then 4 then 2 then 1. From my observations and testing I am quite sure that you are correct