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The sum of the positive divisors of a positive integer of the form 2p is equal to 600, where p is prime. What is p?

 Dec 24, 2020
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600 - 3 = 597

 

597 x 1/3 =199 - which is your prime number p.

 

199 x 2 = 398

 

398 =[1, 2, 199, 398] - Number of its divisors.

 

Sum[1 + 2 + 199 + 398]== 600

 Dec 24, 2020

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