Armstrong Number Checker Calculator

Work out armstrong number checker instantly with clear inputs, formula shown and shareable results.

About Armstrong Number Checker Calculator

An Armstrong (narcissistic) number equals the sum of its own digits each raised to the power of the number of digits. For three-digit numbers that means the sum of the cubes of the digits.

Formula

Armstrong condition

v = Σ dᵏ where d are the digits of v and k is how many there are

Worked example

With the default values below, Armstrong Number Checker Calculator returns Result of 153 is an Armstrong number. Change any input above and every figure here is recalculated in your browser.

Inputs used

Number to testminimum 1: 153
Also list Armstrong numbers up toaccepts 1–100,000: 1,000

Results

Result: 153 is an Armstrong number
Sum of digits raised to the digit count: 153
Number of digits: 3
Armstrong numbers in the range: 1, 2, 3, 4, 5, 6, 7, 8, 9, 153, 370, 371, 407

Step by step

1Values used
2Armstrong condition
3Result= 153 is an Armstrong number
4Sum of digits raised to the digit count= 153
5Number of digits= 3
6Armstrong numbers in the range= 1, 2, 3, 4, 5, 6, 7, 8, 9, 153, 370, 371, 407

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to whole numbers, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Is 153 an Armstrong number?

Yes: 1³ + 5³ + 3³ = 1 + 125 + 27 = 153.

How many are there below 1000?

Fourteen if you count the single digits 1 to 9, plus 153, 370, 371 and 407.