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

Author

Henry Bottomley, Mar 15 2000

Keywords

• base
• fini
• full
• nonn

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

Examples

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

Links

• 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.

Crossrefs

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

Programs

PARI

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