Identifying perfection

Which of the following are perfect numbers:

A. 9 9

B. 28 28

C. 496 496

D. 512 512

This problem is the part of a set on perfect numbers .

all of the above B and C B only C only

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2 solutions

Tannu Singh
Apr 29, 2014

divisors of 9: 1, 3,9 but (1+3+9)/2 is not equal to 9 therefore, 9 is not a perfect no. divisors of 28: 1,2,4,7,14,28 and (1+2+4+7+14+28)/2=28 therefore, 28 is a perfect no. divisors of 496: 1,2,4,8,16,31,62,124,496 and (1+2+4+8+16+31+62+124+496)/2=496 therefore, 496 is the perfect no. ans: B and C

28 and 496 equal the sum of their divisors. Thus, they are perfect numbers.

craft i knw the ans

Ranesh Sarkar - 7 years, 1 month ago

how did you get the sum of all of the divisors of 496? is there an easier way than to list them down?

Erin Cheng - 7 years, 1 month ago

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see this link

敬全 钟 - 7 years, 1 month ago

for(i=1 to n/2,i++) s+=i; and s==n parfect that 28 496

tan veer - 7 years, 1 month ago

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