Math, asked by rajdeep123344, 1 year ago

what are Armstrong numbers

Answers

Answered by Anonymous
1
Hey mate!

▪ Armstrong Numbers :-

A number aa is an Armstrong Number or narcissistic number if it is equal to the sum of its own digits raised to the power of the number of digits. This definition is dependent on the base, bb, used to represent the number.

If a≡∑n−1i=0aibia≡∑i=0n−1aibi then a=∑n−1i=0aina=∑i=0n−1ain

Single digit numbers are trivially Armstrong Numbers.

In base 10 the next smallest Armstrong Number is 153=13+53+33153=13+53+33 and there are 88 in total with the largest being..


115,132,219,018,763,992,565,095,597,973,971,522,401

In base 3 seventeen is an Armstrong Number because 1710=1223=13+23+23.


Hope it's help you!
Be Brainly!
Answered by Anonymous
6
An Armstrong number of three digits is an integer
such that the sum of cube of its digits is equal to itself...
for example
3*3+7*7+1*3=371
hopes helps
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