ON THE SUM OF EACH DIGIT'S k-POWER OF AN INTEGER
Mingqiang Wang · Journal of Qufu Normal University · 2001
For a fixed integer n, let A n (k,1) denote the sum of each digit's k-power of n, and A n (k,s+1) denote the sum of each digit's k-power of A n (k,s) .So ｛A n (k,s) ｝for a sequence. Then there exists an integer S 0,such that as ss 0,A (n) (k,s) is equals to a constant, or A n (k,s) equal to one of a sequence of integer.