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Digital Root Calculator

Find the single digit obtained by repeatedly adding the decimal digits of a nonnegative whole number.

Enter your values

Enter a numeric value. Use a whole number. Use a non-negative value.

Use a decimal point, without thousands separators.

Example result
Digital root
2

The initial result uses the example values. Enter your own values and calculate again.

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How it works

For 9,875, the first digit sum is 9 + 8 + 7 + 5 = 29, then 2 + 9 = 11, and finally 1 + 1 = 2. The result is a base-ten digit property. It is not a square root, a prime test, a secure checksum or a personal prediction.

Inputs and units
Digital Root Calculator · Inputs and units
InputExample valueWhat to enter
Nonnegative integer9,875Enter a numeric value. Use a whole number. Use a non-negative value.
dr(0) = 0; dr(n) = 1 + ((n − 1) mod 9), n > 0

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Nonnegative integer
9,875

Complete example results

Digital root
2

Reading the result

Use quantities on the same basis. The starting value in percentage change, the denominator in a ratio and the length unit in geometry determine the meaning of the answer. Check the formula conditions alongside the example.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

Why does a positive multiple of 9 return 9 rather than 0?

Its repeated digit sum ends at 9. Only an input of zero has digital root zero; the remainder after division by 9 is a related but different quantity.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Methods & accuracy

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