What is smallest 3 digit narcissistic number.
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153=1^3+5^3+3^3
=1+125+27
=153
A narcissistic number is that number where the sums of the cubes of the digits is equal to the number itself.
The smallest 3 − d i g i t narcissistic number is 153.
How do you know that's the smallest possible?
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Good query. Guess a quick few line of codes in your favorite programming language will deliver the result.
Yes a code can prove that.....according to my knowledge i think 1 5 3 is the smallest one but i still dont have any rigourous proof for why is it so sir.....my methodology would still be exhaustive testing(a very old method which consumes more time and energy) but i would like to know a better proof for the same !!!!!
It is not necessarily that it is a cube only but we are talking of a three digit narcissistic number that is why it is cube of the digits. It is a number that is the sum of its own digits each raised to the power of the number of digits.
Does narcissistic number here means Armstrong number?
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Yes it can also mean as an Armstrong number !!!!!
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