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

Author

Paolo P. Lava and Giorgio Balzarotti, Oct 30 2006

Keywords

• nonn
• base

Comments

Subset of A124359

Examples

			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.