Sum of Digits / Digital Root

Sum of Digits / Digital Root

In this kata, you must create a digital root function.

A digital root is the recursive sum of all the digits in a number. Given n, take the sum of the digits of n. If that value has two digits, continue reducing in this way until a single-digit number is produced. This is only applicable to the natural numbers.

Here's how it works (Ruby example given):

digital_root(16)
=> 1 + 6
=> 7

digital_root(942)
=> 9 + 4 + 2
=> 15 ...
=> 1 + 5
=> 6

digital_root(132189)
=> 1 + 3 + 2 + 1 + 8 + 9
=> 24 ...
=> 2 + 4
=> 6

digital_root(493193)
=> 4 + 9 + 3 + 1 + 9 + 3
=> 29 ...
=> 2 + 9
=> 11 ...
=> 1 + 1
=> 2

using System;
using System.Linq;

public class Number
{
     public int DigitalRoot(long n)
            {
                // Your awesome code here!
               while (n > )
                {
                    n = n.ToString().Select(c => Convert.ToInt32(c.ToString())).Sum();
                }
                return (int)n;
            }
}

public class Number
{
  public int DigitalRoot(long n)
  {
    return (int)((n - ) %  + );
  }
}