perplexus.info :: Just Math : Square Digit Sum Surmise

Square Digit Sum Surmise (Posted on 2015-01-20)

N is a positive integer less than 2015.

Find all values of N such that:
N is equal to precisely 36 less than the square of the sum of digits of N.

***As an extra challenge, solve this puzzle without using a computer program assisted method.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

N=45,64, 288 are the only values of N that satisfy the given conditions.
For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
answers, only for N<100	Ady TZIDON	2015-01-20 17:15:54
Challenge accepted (spoiler)	Steve Herman	2015-01-20 17:12:54

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