It remains the same. This is because the number of protons doesn't change and the number of protons determines the atomic number. Different amounts of neutrons just creates an isotope of the same element.
The atomic number of an atom when the number of neutrons in the nucleus of that atom increases, it remains the same.
The atomic number is the number of protons present in the nucleus of an atom.
By increasing number of neutrons, there will be no change in number of protons. This concludes that there will be no change in the atomic number.
Thus, the atomic number of an atom when the number of neutrons in the nucleus of that atom increases, it remains the same.
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