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11 votes
11 votes
Which of the following numbers are perfect . 3364,4489,4358 please solve

User PluginPenguin
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1 Answer

19 votes
19 votes

Answer:

Below

Explanation:

A perfect number is one whose proper divisors add up to that number.

For example, 6 is a perfect number because

Its proper divisors 1, 2 and 3 and 1+2+3 = 6.

First list prime factors:

3364 = 2 * 2 * 29 * 29

Proper divisors are 1, 2, 4, 29, 58, 116, 841, 1682

Sum of these = 2733.

So, 3364 is not a perfect number.

4489 = 67 * 67

Divisors are 1 and 67.

Sum = 68.

So, 4489 is not a perfect number.

4358 =2 * 2179

Divisors are 1 , 2 and 2179.

Sum = 2182.

So, 4358 is not a perfect number.

User Abhishek
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3.2k points