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A061209 Numbers which are the cubes of their digit sum. 4
1, 512, 4913, 5832, 17576, 19683 (list; graph; refs; listen; history; text; internal format)
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 m-th power whose digit sum is the m-th 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 A017487

Adjacent sequences:  A061206 A061207 A061208 * A061210 A061211 A061212

KEYWORD

nonn,fini,full,base

AUTHOR

Amarnath Murthy, Apr 21 2001

STATUS

approved

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Last modified December 22 11:41 EST 2014. Contains 252355 sequences.