Digital Root Calculator

Calculate the repeated base-10 digit sum of a safe integer.

Description

Calculate the repeated base-10 digit sum of a safe integer.

Calculate the repeated base-10 digit sum of a safe integer.

When to use Digital Root Calculator

Use this tool to test or transform exact integers according to the named number-theory definition, for education, validation, or algorithm checks.

Integer
An integer input.

How the calculation works

The formula below determines the tool output. Digital root: The calculated digital root.1

digital root = 1 + ((n − 1) mod 9) for n > 0 1

Limitations and assumptions

This tool applies an exact integer definition within JavaScript's safe-integer range. It is not an arbitrary-precision factorization or proof system, so do not use rounded measurements or integers beyond the accepted domain as though they were exact.

Alternative or Complementary approaches

Complement a number-property result with its factorization, divisors, digit representation, or a second independent predicate. A true result establishes only the named property and does not imply other properties such as primality.

References

  1. Digital root — Wikipedia contributors

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