A number is called a perfect number if it equals the sum of all its factors except itself. for instance , 6 is a perfect number because its factors are 1,2,3 and 6 and 1 + 2 + 3 = 6 .What is the next greater perfect number ?

28

Equivalently, the number 6 is equal to half the sum of all its positive divisors: ( 1 + 2 + 3 + 6 ) / 2 = 6. The next perfect number is 28 = 1 + 2 + 4 + 7 + 14. This is followed by the perfect numbers
(1+2+4+7+14+28)/2
56 / 2 = 28

1+2+3+6 then 1+2=3 then 3+3=6 final answer 6+6 = 12 as the next perfect number

To find the next greater perfect number, we need to understand how to determine if a number is perfect or not.

1. Start by finding the factors of the number: A factor is a number that divides the given number without leaving a remainder. For example, the factors of 6 are 1, 2, 3, and 6.

2. Sum up all the factors, except the number itself: In the case of 6, the sum of its factors excluding 6 is 1 + 2 + 3 = 6.

3. Check if the sum of factors equals the number: If the sum of the factors is equal to the number itself, then the number is a perfect number. In the case of 6, the sum of factors is equal to 6, so it is a perfect number.

Now, let's find the next greater perfect number.

The next greater perfect number after 6 is 28.

1. Find the factors of 28: The factors of 28 are 1, 2, 4, 7, 14, and 28.

2. Sum up all the factors, excluding 28: 1 + 2 + 4 + 7 + 14 = 28.

3. Check if the sum of factors equals the number: The sum of factors (28) is equal to the number itself, so 28 is a perfect number.

Therefore, the next greater perfect number after 6 is 28.