Perfect Numbers

In the previous post we have discussed about What are Ordered Pairs and In today's session we are going to discuss about Perfect Numbers. Perfect Numbers that define in the number theory describe as a positive integer number which is equal to the sum of its divisor that gives the remainder zero means they would be proper divisor but in this sum discard the number itself that is also a proper divisor  but could not included in the calculation of perfect number.

We can also explained perfect number as a half of the sum of total positive divisors but in this case include the number itself.

We can easily define the perfect number by an example as 6 is a perfect number because the sum of all the divisor excluding itself equal to 6 that is 1 , 2 and 3 are the proper positive divisor of number 6 and their sum as 1 + 2 + 3 = 6.

According to the second definition of the perfect number if half of the sum of its all proper divisor is equal to the given number then that number is called as perfect number as (1 + 2 + 3 + 6) / 2 = 12 / 2 = 6.

We can also categorize the perfect numbers as even perfect number and odd perfect number.

According to the definition of the even perfect number, 2 > n-1( 2 >n – 1) shows an even perfect number in which n shows the prime number. (know more about Perfect Numbers, here)

We can calculate perfect numbers as 2 is prime number so put it into the given formula as 2 > (2 – 1).(2 > 2 – 1) = 2 > 1. 4 – 1 = 2 .3 = 6 , that shows 6 as a perfect number.

Systematic Sampling is a statistical method that describes as a method of random selection of elements from an ordered sampling frame. It is very popular because of its simplicity and its periodic quality.

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