Kaprekar Steps Calculator

Apply the four-digit descending-minus-ascending digit routine with leading zeros until 6174 or zero, reporting every intermediate value.

Description

Apply the four-digit descending-minus-ascending digit routine with leading zeros until 6174 or zero, reporting every intermediate value.

Apply the four-digit descending-minus-ascending digit routine with leading zeros until 6174 or zero, reporting every intermediate value.

When to use Kaprekar Steps Calculator

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

value
An integer input from 0 through 9999.

How the calculation works

The formula below determines the tool output. steps: The calculated steps. sequence: The calculated sequence.1

next = descending digits − ascending digits 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. 6174 — Wikipedia contributors

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