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Quantity Query (Posted on 2022-11-13)

Determine all (non leading zero) 3-digit positive integers n such that the sum of squares of digits of n is precisely one-third of n.

Submitted by K Sengupta

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Solution: (Hide)

The only possible 3-digit number in conformity with the given conditions is 267.
Steven Lord has extended the problem to determining 3-digit positive integers n such that the sum of squares of digits of n is precisely 1/p-th of n for various values of p here.

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

	Subject	Author	Date
	soln	Steven Lord	2022-11-13 10:09:57

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