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The sum of the positive divisors of a positive integer of the form \(2^i3^j\) is equal to 600. What is i+j?

ant101  Aug 31, 2018
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See the answer here: https://web2.0calc.com/questions/help_62156

Guest Aug 31, 2018
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2^3 x 3^3 =216

Divisors of 216  are 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 27 + 36 + 54 + 72 +108 + 216 = 600

 so then i + j = 3 + 3 = 6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

wink

SVS2652  Aug 31, 2018

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