What is a perfect number? Check whether 28 is a perfect number. i want with steps
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✨PERFECT NUMBER✨
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number.
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Yes it's a perfect number
28
SUM OF DIVISONS
1 + 2 + 4 + 7 + 14
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According to the definition of perfect numbers, 28 is a perfect number. ∴ Yes, 28 is a perfect number. According to the Euclid's proposition, if 2p−1 2 p − 1 is a prime number, then 2p−1(2p−1) 2 p − 1 ( 2 p − 1 ) is a perfect number.
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