Why atomic magic number is different from nuclear magic number?
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In nuclear physics, a magic number is a number of nucleons (either protons or neutrons, separately) such that they are arranged into complete shells within the atomic nucleus. ... Large isotopes with magic numbers of nucleons are said to exist in an island of stability.
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The atomic analog to nuclear magic numbers are those numbers of electrons leading to discontinuities in the ionization energy. These occur for the noble gases helium, neon, argon, krypton, xenonb, radon and oganessonb. Hence , the "atomic magic numbers" are 2, 10, 18, 36, 54, 86 and 118.
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