Primo Phobia
I am thinking of a number which has the following properties:
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It is a product of three distinct prime numbers, for which the sum of squares of these 3 numbers is 2331.
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There are 7560 positive integer (inclusive of 1) which is less than the number and is coprime to it.
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The sum of divisors (inclusive of 1 and itself) is 10560.
What is the number I am thinking of?
The answer is 8987.
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