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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
0, 1, 4150, 4151, 54748, 92727, 93084, 194979 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

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

LINKS

Table of n, a(n) for n=1..8.

G. K. Patil, Ramanujan's Life And His Contributions In The Field Of Mathematics, International Journal of Scientific Research and Engineering Studies (IJSRES), Volume 1 Issue 6, December 2014, ISSN: 2349-8862.

EXAMPLE

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

PROG

(PARI) for(n=0, 10^6, A055014(n)==n&&print1(n", ")) \\ M. F. Hasler, Apr 12 2015

CROSSREFS

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

Sequence in context: A256080 A287514 A072896 * A161752 A145205 A243025

Adjacent sequences:  A052461 A052462 A052463 * A052465 A052466 A052467

KEYWORD

base,fini,full,nonn

AUTHOR

Henry Bottomley, Mar 15 2000

STATUS

approved

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Last modified March 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)