What is Armstrong Number?

what-is-armstrong-number


 What is Armstrong Number?


An Armstrong Number is an integer such that the sum of its own digits each raised to the power of the number of the digits is equal to the number itself.

Armstrong number is named after Michael F. Armstrong. It is also called a Narcissistic number.

Examples of Armstrong Number


Let us understand Armstrong number with a few examples.

Example 1: 371 

Number of digits (n) in 371 = 3. Now,

3³ + 7³ + 1³ = 27 + 343 + 1 = 371

Therefore, 371 is an Armstrong Number since the sum of cubes of its digits is equal to the number 371.


Example 2: 548834 is also an Armstrong number since,

Number of digits (n) = 6. Now,

       5⁶ + 4⁶ + 8⁶ + 8⁶ + 3⁶ + 4⁶ 
= 15625 + 4096 + 262144 +262144 + 729 + 4096 
= 548834

Therefore, 548834 is an Armstrong number since the sum of its digits each raised to the power 6 is equal to the number 548834.


Armstrong Numbers list from 0 to 999


There are six Armstrong Numbers in the range of 0 and 999.

Armstrong number 1:   0
Armstrong number 2:   1
Armstrong number 3:   153
Armstrong number 4:   370
Armstrong number 5:   371
Armstrong number 6:   407


Armstrong Numbers list from 1000 to 9999


There are three Armstrong numbers in the range of 1000 and 9999.

Armstrong number 1:    1634
Armstrong number 2:    8208
Armstrong number 3:    9474 



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