

A061209


Numbers which are the cubes of their digit sum.


4




OFFSET

1,2


COMMENTS

It can be shown that 19683= (1+9+6+8+3)^3 = 27^3 is the largest such number.
Numbers of Dudeney.  Philippe Deléham, May 11 2013


REFERENCES

Amarnath Murthy, The largest and the smallest mth power whose digit sum is the mth root. (To be published)
H. E. Dudeney, 536 Puzzles & Curious Problems, Souvenir Press, London, 1966, p. 36, #120


LINKS

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


EXAMPLE

4913 = (4+9+1+3)^3.


CROSSREFS

Sequence in context: A186845 A239917 A114287 * A017259 A017367 A253833
Adjacent sequences: A061206 A061207 A061208 * A061210 A061211 A061212


KEYWORD

nonn,fini,full,base


AUTHOR

Amarnath Murthy, Apr 21 2001


STATUS

approved



