The answer is in this question

Logic Level 3

Given that the sum of cubes of the digits of the integer answer to this question is equal to the answer of this question itself, but it is greater than the sum of digits of the answer to this same question.

Of all the possible answers to this very question, what is the smallest possible answer?


Inspiration .


The answer is 153.

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1 solution

Sonia Gupta
May 8, 2016

The answer of this question is the type of Armstrong numbers whose sum of the cube of the digits will be equal to the number .

(1)³ = 1

(5)³ = 125

(3)³ = 27

1 + 27 + 125 = 153

1 is the smallest Armstrong number but in question it is given that the number have more than 1 digit. It is frequently used in programming code.

Great! Relevant article .

Can you solve this question without using a programming code?

Pi Han Goh - 5 years, 1 month ago

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Yes, I can do that but my concept become more clear after coding the programs.

Sonia Gupta - 5 years, 1 month ago

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