A061210 Numbers which are the fourth powers of their digit sum.

0, 1, 2401, 234256, 390625, 614656, 1679616

Offset

1,3

Comments

It can be shown that 1679616 = 36^4 is the largest such number.

References

Amarnath Murthy, The largest and the smallest m-th power whose digit sum is the m-th root. (To be published)

Links

Table of n, a(n) for n=1..7.

Example

614656 = ( 6+1+4+6+5+6)^4 =28^4.

Mathematica

Select[Range[0, 17*10^5], #==Total[IntegerDigits[#]]^4&] (* Harvey P. Dale, Sep 22 2019 *)

Prog

(PARI) isok(n) = n == sumdigits(n)^4; \\ Michel Marcus, Jan 22 2015

Crossrefs

Cf. A061209 (with cubes), A061211.

Cf. A046000, A076090, A046017; A252648 and references there.

Sequence in context: A017356 A017476 A017608 * A226092 A097015 A222461

Adjacent sequences: A061207 A061208 A061209 * A061211 A061212 A061213

Keyword

nonn,fini,full,base

Author

Amarnath Murthy, Apr 21 2001

Extensions

Corrected by Ulrich Schimke, Feb 11 2002

Initial 0 added by M. F. Hasler, Apr 12 2015

Status

approved