Armstrong Number Calculator

Use our free Armstrong number calculator to test if a number is narcissistic (Armstrong), find all Armstrong numbers in a range, or list the first n.

Math

Mode

Number

Start

End

How Many

Formula

An Armstrong (narcissistic) number is one where the sum of its digits each raised to the power of the number of digits equals the number itself. Example: 153 = 1³+5³+3³.

Sum of each digit raised to the power of the number of digits equals the number.

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Select a mode.
2Check: enter a number to test.
3Range: enter start and end to find Armstrong numbers.
4First n: enter count (1–30) to see the first Armstrong numbers.
5Click Calculate.

Examples

Check 153

1.1³+5³+3³ = 1+125+27 = 153
2.153 is an Armstrong number

Result: Yes

Check 123

1.1³+2³+3³ = 1+8+27 = 36 ≠ 123
2.123 is NOT Armstrong

Result: No

Range 0-10000

1.0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 153, 370, 371, 407, 1634, 8208, 9474

Result: 17 found

Frequently Asked Questions

A number where sum of digits^n = number (n = digit count).

Narcissistic, pluperfect, or self-power number.

Only 88 narcissistic numbers exist in base 10 (largest has 39 digits).

All digits 0–9 are Armstrong numbers (d¹ = d).

115132219018763992565095597973971522401 (39 digits).

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CalculateMe Team

Last updated: 2026-07-14

Armstrong Number Calculator

Formula

How It Works

Examples

Check 153

Check 123

Range 0-10000

Frequently Asked Questions

What is an Armstrong number?

Other names?

How many are there?

Single digit?

Largest known?

Related Calculators

Armstrong Number Calculator

Formula

How It Works

Examples

Check 153

Check 123

Range 0-10000

Frequently Asked Questions

What is an Armstrong number?

Other names?

How many are there?

Single digit?

Largest known?

Related Calculators