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

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

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), 1(6) (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