A124365 Numbers that raised to only one specific exponent gives a result for which the sum of its digits is equal to number itself.

2, 3, 4, 5, 6, 17, 20, 22, 25, 26, 31, 34, 35, 40, 43, 45, 53, 58, 63, 64, 68, 71, 81, 82, 85, 86, 91, 94, 97, 98, 103, 104, 117

Offset

1,1

Comments

Subset of A124359

Links

Table of n, a(n) for n=1..33.

Example

31^7=27512614111 and 2+7+5+1+2+6+1+4+1+1+1=31. This is possible only with 7 as exponent.
97^10=73742412689492826049 and 7+3+7+4+2+4+1+2+6+8+9+4+9+2+8+2+6+4+9=97. This is possible only with 10 as exponent.

Crossrefs

Cf. A124359, A124360, A124361, A124362, A046019, A124364.

Sequence in context: A062932 A347167 A166098 * A115896 A116018 A337865

Adjacent sequences: A124362 A124363 A124364 * A124366 A124367 A124368

Keyword

nonn,base

Author

Paolo P. Lava and Giorgio Balzarotti, Oct 30 2006

Status

approved