Armstrong Number Checker

How it is calculated

An Armstrong (narcissistic) number equals the sum of its own digits, each raised to the power of the number of digits: n = d₁k + d₂k + … + dkk, where k is the digit count. The tool splits the number into digits, raises each to the power k, adds them, and reports the sum together with a yes or no verdict from comparing the sum with the original. Whole numbers from 0 to 1,000,000,000 are accepted; decimals are cut to the integer part. Every single-digit number qualifies, since d¹ = d.

Common mistakes

• Using a fixed power of 3 for every number; the power equals the digit count, so 1634 needs the 4th power.
• Counting leading zeros as digits, such as writing 0153, which would make k = 4.
• Expecting 10 to qualify because 1 + 0 = 1; the power is 2 here, giving 1, not 10.
• Confusing Armstrong numbers with perfect numbers or palindromes; the property is about powers of digits.
• Entering a value above one billion or a negative number, which returns no result.