# Digital Root Calculator Online

### Digital Root Calculator Description

The formula for calculating Digital Root is

**Digital Root**= n - 9 * (ceil(n / 9) - 1)

**Example of Calculations: **

Number: 56984

**Digital Root**= 56984 - 9 * (ceil(56984 / 9) - 1) = 5 (Answer)

**Or**

**Sum of Digits in Number**= 5 + 6 + 9 + 8 + 4 = 32

**Sum of Digits of result**= 3 + 2 = 5 (Answer)

### Digital Root Calculator Explanation

#### Explanation:

The single-digit number created by an iterative process of summing digits, on each iteration
using the outcome from the previous iteration to compute the digit sum, is known as the digital
sum of a non-negative integer or you can say digital root. The procedure keeps going until the
single digit number is achieved/reached.

When a number is divided by 9, the remainder/residual is equal to the digital root of that
number. The digital root is 9, if the remainder is 0 and the value is greater than 0. The
digital root of an integer is zero if the number is zero.

For example, the digital root of the number 45642 is 3 because sum of digits of the number 45642
is 4 + 5 + 6 + 4 + 2 equals to 21 and then 2 + 1 equals 3.

#### Properties or Characteristics of a digital root:

- When multiplying any given number with 9 then the digital root of that number will always be 9.
- A number's digital root remains unchanged when a 9 is added to it.
- The remainder is the digital root of any number when the number is divided by 9.

#### Manual Calculations

- Suppose we have a number 7565.
- Sum of digits of the number 7565 is 7 + 5 + 6 + 5 = 23.
- The sum of digits of above answer 23 is 2 + 3 = 5.
- 5 is the digital root of the number 7565.

#### How to calculate digital root with a calculator?

- You need to enter number in the first input field "Number".
- The results "digital root of a number" will automatically appear below.

#### More Calculation (Cube root of a number) Examples

- Given Number = 75378
- Sum of digits of 75378 is => 7 + 5 + 3 + 7 + 8 = 30
- Sum of digits of above answer 30 is 3 + 0 = 3
- 3 is the digital root of number 75378
- Given Number = 125
- Sum of digits of 125 is => 1 + 2 + 5 = 8
- 8 is the digital root of number 125
- Given Number = 23874
- Sum of digits of 23874 is => 2 + 3 + 8 + 7 + 4 = 24
- Sum of digits of above answer 24 is 2 + 4 = 6
- 6 is the digital root of number 23874
- Digital root of 1229 = 5
- Digital root of 3 = 3
- Digital root of 67 = 4
- Digital root of 7 = 7
- Digital root of 522 = 9
- Digital root of 8365 = 4
- Digital root of 12 = 3
- Digital root of 148 = 4
- Digital root of 19 = 1

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### Calculator1.net Author

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