Isn't the stability based upon neutron/proton (n/p) ratio. Elements less than atomic number 20 need a ratio od 1:1 , elements greater than atomic number 20 need a ratio of 1/1.5 I think, then from elements 83 onwards the ratio exceeds 1:1.5 and they are radioactive (transuranic). So if the ratio is greater than the element allows, then it will become stable. I.e if element 78 isotope has a ratio of 1:1.6 it would be unstable.