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That's not the only reason.
Fluorine has only one stable isotope, fluorine-19 (9 protons, 10 neutrons); but its atomic weight is 18.9984 relative to carbon-12 (which is defined as 12.000 exactly). The difference is the mass equivalent of the binding energy.
A [free] neutron weighs slightly more than a proton plus an electron; when it decays to those (plus an electron neutrino, essentially massless), the mass difference shows up as energy release.
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