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 A052464 Fixed points for operation of repeatedly replacing a number with the sum of the fifth power of its digits. 9

%I

%S 0,1,4150,4151,54748,92727,93084,194979

%N Fixed points for operation of repeatedly replacing a number with the sum of the fifth power of its digits.

%C Equivalently, numbers equal to the sum of 5th powers of their decimal digits. Since this sum is <= 9^5*d for a d-digit number n >= 10^(d-1), there cannot be such a number with more than 6 digits. - _M. F. Hasler_, Apr 12 2015

%H G. K. Patil, <a href="http://www.ijsres.com/2014/vol-1_issue-6/paper_8.pdf">Ramanujan's Life And His Contributions In The Field Of Mathematics</a>, International Journal of Scientific Research and Engineering Studies (IJSRES), Volume 1 Issue 6, December 2014, ISSN: 2349-8862.

%e a(2) = 4150 since 4^5 + 1^5 + 5^5 + 0^5 = 1024 + 1 + 3125 + 0 = 4150.

%o (PARI) for(n=0,10^6,A055014(n)==n&&print1(n",")) \\ _M. F. Hasler_, Apr 12 2015

%Y Cf. A023052, A046074, A046197, A052455, A124068, A124069, A226970, A003321.

%K base,fini,full,nonn

%O 1,3

%A _Henry Bottomley_, Mar 15 2000

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Last modified May 31 22:45 EDT 2020. Contains 334756 sequences. (Running on oeis4.)