

A061210


Numbers which are the fourth powers of their digit sum.


6




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 mth power whose digit sum is the mth 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



