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S.O.D = cube root (Posted on 2016-07-04) Difficulty: 3 of 5
Find all numbers whose sum of digits is equal to its cube root.

Example: 5+1+2=∛512

No Solution Yet Submitted by Jer    
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Solution answer | Comment 1 of 3
The problem is a request for the list of Dudeney numbers. There are seven integers: 0, 1, 512, 4913, 5832, 17576, and 19683 {OIES A061209}.

 03 = 0     : 0         = 0
 13 = 1     : 1         = 1
 83 = 512   : 5+1+2     = 8
17
3 = 4913  : 4+9+1+3   = 17
183 = 5832  : 5+8+3+2   = 18
263 = 17576 : 1+7+5+7+6 = 26
273 = 19683 : 1+9+6+8+3 = 27

Edited on July 4, 2016, 4:04 pm
  Posted by Dej Mar on 2016-07-04 16:03:20

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