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An Armstrong number is a n –digit number in which the sum of the its digits raised to the nth power is equal to the original number.

For example:

Each number has three digits so we will cube each digit and then add the sums.

153 = 1^3 + 5^3 +3^3 = 1 +125 +27 = 153

370 = 3^3 +7^3 +0^3 = 27 + 343 + 0 = 370

With a four digit number we will raise each digit to the fourth power.

1634 = 1^4 +6^4 +3^4 + 4^4 = 1 + 1296 + 81 + 256 = 1634

Math Video Definitions - Armstrong Numbers