Utkrisht123 Posted March 23, 2013 Report Share Posted March 23, 2013 Perfect numbers are number whose sum of factors are twice the number itself. Example 1. 6 factors of 6 are 1,2,3 and 6 sum=12 i.e 2 * 6 2. 28 factors 1,2,4,7,14,28 sum=56 i.e 2 * 28 can you tell any other perfect no? Quote Link to comment Share on other sites More sharing options...

0 Prime Posted March 23, 2013 Report Share Posted March 23, 2013 I am only aware of this general rule. P = 2^{p-1}(2^{p} - 1), where M = 2^{p} - 1 is a Mersenne prime. Example: 2*(2^{2} - 1) = 6 2^{2}*(2^{3} - 1) = 28 2^{4}*(2^{5} - 1) = 496 2^{6}*(2^{7} - 1) = 8128 etc. That is not to say there aren't any other possibilities for finding perfect numbers. Quote Link to comment Share on other sites More sharing options...

0 TimeSpaceLightForce Posted March 23, 2013 Report Share Posted March 23, 2013 (edited) 1 factors 1, 1 sum =2 i.e. 2*1 Edited March 23, 2013 by TimeSpaceLightForce Quote Link to comment Share on other sites More sharing options...

0 Utkrisht123 Posted March 23, 2013 Author Report Share Posted March 23, 2013 1 factors 1, 1 sum =2 i.e. 2*1 1 has only 1 as a factor so sum is 1 Quote Link to comment Share on other sites More sharing options...

0 wolfgang Posted March 23, 2013 Report Share Posted March 23, 2013 (edited) Didn`t find one yet Edited March 23, 2013 by wolfgang Quote Link to comment Share on other sites More sharing options...

0 TimeSpaceLightForce Posted March 23, 2013 Report Share Posted March 23, 2013 Perfect numbers are number whose sum of factors are twice the number itself. Example 1. 6 factors of 6 are 1,2,3 and 6 sum=12 i.e 2 * 6 2. 28 factors 1,2,4,7,14,28 sum=56 i.e 2 * 28 can you tell any other perfect no? I would rather say they are half perfect because their factors sum is twice of them. 1 is perfect. Quote Link to comment Share on other sites More sharing options...

0 marksmanjay Posted March 24, 2013 Report Share Posted March 24, 2013 COMBINATION: 4927 Quote Link to comment Share on other sites More sharing options...

0 Prime Posted March 25, 2013 Report Share Posted March 25, 2013 Perfect numbers are number whose sum of factors are twice the number itself. Example 1. 6 factors of 6 are 1,2,3 and 6 sum=12 i.e 2 * 6 2. 28 factors 1,2,4,7,14,28 sum=56 i.e 2 * 28 can you tell any other perfect no? I would rather say they are half perfect because their factors sum is twice of them. 1 is perfect. In old (Euclid) times, they did not count the number as its own divisor, but they did count 1. Thus, Perfect Number used to be equal to the sum of its divisors (Aliquot Parts.) (Don't quote me on that.) Quote Link to comment Share on other sites More sharing options...

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## Utkrisht123

Perfect numbers are number whose sum of factors are twice the number itself.

Example

1. 6 factors of 6 are 1,2,3 and 6 sum=12 i.e 2 * 6

2. 28 factors 1,2,4,7,14,28 sum=56 i.e 2 * 28

can you tell any other perfect no?

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