Armstrong Number Checker
Check whether a nonnegative integer equals the sum of its digits each raised to the digit count.
Description
Check whether a nonnegative integer equals the sum of its digits each raised to the digit count.
Check whether a nonnegative integer equals the sum of its digits each raised to the digit count.
When to use Armstrong Number 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 greater than or equal to 0.
How the calculation works
The formula below determines the tool output. Armstrong number: Whether armstrong number is true.1
n is Armstrong when n = Σ(digit^digit-count) 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
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Narcissistic number — Wikipedia contributors
Similar or alternative tools
- Automorphic Number Checker
Check whether the square of a nonnegative integer ends with the integer itself.
- Digit Count Calculator
Count the base-10 digits in a safe integer without counting its sign.
- Digit Frequency Counter
Count how many times each digit appears in a nonnegative integer.