perplexus.info :: Probability : Product Crossed Square Settlement

Product Crossed Square Settlement (Posted on 2022-08-19)

N is a 7-digit positive integer whose product of the digits is 20160.

Determine the probability that the sum of the digits of N is a perfect square.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re: Solution

| Comment 3 of 5 |

(In reply to Solution by Larry)

You seem to have misread the problem. You found how many values of N are perfect squares instead of the digit sum of N being a perfect square.

But thanks to this post I can confirm my denominator: 28560=17/3*7!

Posted by Jer on 2022-08-19 10:15:51

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