We all are not perfect; Similarly numbers!!!
Number Theory
Level
pending
In first 100 natural numbers, how many numbers are perfect numbers?
Note: A perfect number is a number whose sum of all the factors is double the number.
9
10
2
3
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1 solution
There are only 2 perfect numbers in first 100 natural numbers. A number whose sum of all the factors is double is called a perfect number. If 2^k-1 is a prime number, then every (2^k-1)(2^(k-1)) is a perfect number, where k is a positive integer. For, k=2, we get 3 2=6. For k=3, 7 4=28. Next perfect number is for k=5, 31*16=496.