No. The only perfect numbers less than 100 are 6 and 28. All known perfect numbers are even - it is unknown whether there are odd perfect numbers.
Perfect squares have an odd number of factors. There are 31 perfect squares less than 1000.
There is only one Perfect Number within this range : 496. If 2ⁿ - 1 is prime then 2ⁿ⁻¹(2ⁿ - 1) is a perfect number. In this instance n = 5 then, 2⁴(2⁵ - 1) = 16 x 31 = 496...........and 31 is a prime number.
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31.
31 is a prime number. Please note that all perfect squares are composite, except 0 and 1.
The greatest three-digit perfect square is 961, which is the square of 31 (31 × 31 = 961). The next perfect square, 1024, is a four-digit number, making 961 the highest perfect square within the three-digit range.
31 is a not perfect square.
The smallest three-digit number is 100, and the largest is 999. The smallest integer whose square is a three-digit number is 10 (since (10^2 = 100)), and the largest integer is 31 (since (31^2 = 961)). Therefore, the three-digit perfect squares correspond to the integers from 10 to 31, which gives us a total of (31 - 10 + 1 = 22) three-digit perfect squares.
Oh, dude, the tenth perfect number is 8,589,869,056. It's like a perfect number, but, you know, the tenth one. So, if you're ever in a situation where you need to know the tenth perfect number, now you're prepared. You're welcome.
496 An integer is a perfect number if it is equal to the sum of its positive divisors - not including itself. 496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248.
It is: 31*31 = 961
The only perfect squares from 1 to 31 are 1, 4, 9, 16, and 25.All of the other 26 are NOT perfect squares.2,3,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27.28,29,30,31