Isotope Stability

How does one calculated isotope life length, given just number of protons and neutrons? I.e. how natural abundance and atomic mass numbers come to life?

can one bruteforce a formula for that?

Stability of isotopes is affected by the ratio of protons to neutrons, and also by presence of certain "magic numbers" of neutrons or protons which represent closed and filled quantum shells. These quantum shells correspond to a set of energy levels within the shell model of the nucleus; filled shells, such as the filled shell of 50 protons for tin, confers unusual stability on the nuclide. As in the case of tin, a magic number for Z, the atomic number, tends to increase the number of stable isotopes for the element.

Elements with odd atomic numbers have at most one or two stable isotopes, while elements up to lead with even atomic numbers all have three or more stable isotopes, except for the first three: helium, beryllium, and carbon.

lightest isotopes present in much greater abundance than the heavier.

Will this help make the BFG in DooM more powerful?

>>6
no. it would help understanding computation.