Perfect Cube Checker

Check whether a safe integer is an exact integer cube.

Description

Check whether a safe integer is an exact integer cube.

Check whether a safe integer is an exact integer cube.

When to use Perfect Cube Checker

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. Perfect cube: Whether perfect cube is true. Nearest cube root: The calculated nearest cube root.1

n is a perfect cube when n = k³ for an integer k 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. Perfect power — Wikipedia contributors

Similar or alternative tools

  • Heron's Square Root Method

    Approximate the nonnegative square root with Heron's iteration and stop when successive estimates meet a relative tolerance.

  • Perfect Square Checker

    Check whether a nonnegative safe integer is an exact integer square.

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