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what is the sum of divisors greater than 1 and less than 100 of the number (2^32)-1
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2^32 - 1= (2^16+1)*(2^8+1)*(2^4+1)*(2^2+1)*(2^2-1)
all 5 factors are prime,
divisors lying between 1 and 100 are : 3, 5, 15(3*5), 17, 51(3*17), 85(5*17)
sum = 3+5+15+17+51+85 = 176
- 9 years agoHelpfull: Yes(2) No(1)
- according to the problem,
(2^32 - 1) = (2^16 + 1)*(2^8 + 1)*(2^4 + 1)*(2^2 + 1)*(2^2 - 1)
here all 5 factors are prime,
so the divisors which lies between 1 to 100 are
3 , 5 , 15 , 17 , 51 , 85
whose summation is,
3 + 5 + 15 + 17 + 51 + 85 = 176 - 9 years agoHelpfull: Yes(2) No(0)
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