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A124365
Numbers that raised to only one specific exponent gives a result for which the sum of its digits is equal to number itself.
4
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
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
KEYWORD
nonn,base
AUTHOR
STATUS
approved