Is 28 a Perfect No ?

Answer

To determine if 28 is a perfect number, we need to follow these steps:

### Step 1: Understand the Definition of a Perfect Number
A perfect number is defined as a positive integer that is equal to the sum of its proper divisors (excluding itself).

### Step 2: Identify the Proper Divisors of 28
The proper divisors of 28 are the positive integers that divide 28 without leaving a remainder, excluding 28 itself. The proper divisors of 28 are:
- 1
- 2
- 4
- 7
- 14

### Step 3: Calculate the Sum of the Proper Divisors
Now, we will sum these proper divisors:
- Sum = 1 + 2 + 4 + 7 + 14

Calculating this step by step:
- 1 + 2 = 3
- 3 + 4 = 7
- 7 + 7 = 14
- 14 + 14 = 28

So, the total sum of the proper divisors is 28.

### Step 4: Compare the Sum to the Original Number
Now we compare the sum of the proper divisors to the original number:
- The sum of the proper divisors (28) is equal to the original number (28).

### Conclusion
Since the sum of the proper divisors of 28 equals 28, we conclude that 28 is indeed a perfect number.

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