Find all numbers whose sum of digits is equal to its cube root.
Example: 5+1+2=∛512
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
173 = 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
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Posted by Dej Mar
on 2016-07-04 16:03:20 |
answer
