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A226970 Fixed points for the operation of repeatedly replacing a number with the sum of the ninth powers of its digits. 7
0, 1, 146511208, 472335975, 534494836, 912985153 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

The only six integers equal to the sum of the ninth powers of their digits.

This is row n=9 of A252648. For a d-digit number n >= 10^(d-1), the sum of 9th powers of its digits is <= 9^9*d, therefore n <= 4112105981. - M. F. Hasler, Apr 12 2015

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

a(3) = A003321(9);

a(4) = 472335975 = 4^9 + 7^9 + 2^9 + 3^9 + 3^9 + 5^9 + 9^9 + 7^9 + 5^9.

PROG

(PARI) is_A226970(n)=n==sum(i=1, #n=digits(n), n[i]^9)

for(n=0, 4112105981, is_A226970(n)&&print1(n", ")) \\ M. F. Hasler, Apr 12 2015

CROSSREFS

Cf. A046197, A052455, A052464, A124068, A124069, A003321.

Sequence in context: A224638 A224642 A185855 * A212470 A180345 A160688

Adjacent sequences:  A226967 A226968 A226969 * A226971 A226972 A226973

KEYWORD

nonn,base,fini,full

AUTHOR

Michel Lagneau, Jun 24 2013

STATUS

approved

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Last modified April 19 06:30 EDT 2019. Contains 322237 sequences. (Running on oeis4.)