Digital roots or Digital Sum of Numbers

The word Digit means the single figure numbers; the numbers from 1 to 9 and zero

Digital Root or Digital Sum of a number : is the remainder when the number is divided by 9.

So for 31, the remainder is 4 because 31/ 9 = 3 remainder 4. The digital root is also 4.

The digital root can also be obtained by summing the digits of the number.

For example,

• Digital sum of 26 is 2 + 6 = 8.
• Digital sum of 14 is 1 + 4 = 5.
• Digital sum of 764 is 7 + 6 + 4 =17. And 17 is a 2-digit number and we add the figures in 17 to get 1 + 7 = 8. So digital root of 764 is 8.
• When the sum of digits is greater than 9, you keep adding. So for 3856, the digital root is 3 + 8 + 5 + 6 = 22, 2 + 2 = 4.

Some facts of digital roots or Digital Sum:

• Adding 9 to a number does not affect its digit sum. So 1,10,19, 28 all have a digit sum of 1.
  Digital sum of 59309 is 5 + 3 + 0 = 8, ignore all 9's
• In terms of digit sums 9 and 0 are equivalent
• Any group of digits in a number that add up to a 9 can also be removed.
  Digit sum of 26701 is 7.
  We see that 2 and 7 which adds up to 9. We can remove 2 and 7 and add up only other digits 6 + 0 + 1 = 7.

If you feel like reading something else, may I recommend:

• Speed and correct division by 9 (nine).

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