Math, asked by narenderg308, 1 year ago

explain complete number with suitable example

Answers

Answered by shruti194
11
Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128.
Answered by ColinJacobus
19

Answer: Explained.

Step-by-step explanation:  We are given to explain complete numbers with suitable examples.

Complete numbers: A positive number is said to be complete if the sum of all positive divisors of the number is equal to twice the number itself.

For example, 6 is the first positive complete number.

The divisors of 6 are 1, 2, 3 and 6.

Therefore, the sum of the divisors = 1 + 2 + 3 + 6 = 12 = 2 × 6.

Next complete number is 28.

The divisors of 28 are 1, 2, 4, 7, 14 and 28.

Therefore, the sum of the divisors = 1 + 2 + 4 + 7 + 14 + 28 = 56  = 2 × 28.

The other examples of complete numbers are 496, 8128, 33550336, etc.

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