# 2016 is absolutely awesome 3

Logic Level 2

For any positive integer $$k$$ let $$f_1(k)$$ denote the sum of the squares of the digits of $$k$$ (when written in decimal), and for $$n \ge 2$$ define $$f_n(k)$$ iteratively by $$f_n(k)=f_1(f_{n−1}(k))$$.

Find $$f_{2017}(2016)$$.

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