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Are prime numbers more or less common than perfect squares?
Any number squared except 0 is a perfect square so it follows that prime numbers are less common than perfect squares.
What is the perfect cube that is less than to 125?
It is 64 which is also a square number
How many positive integers less than 2008 have an even number of divisors?
There are 1,963 such integers. Every factor of a number has a pair. The only time there will be an odd number of factors is if one factor is repeated, ie the number is a perfect square. So the question is really asking: how many positive integers less than 2008 (in the range 1 to 2007) are not perfect squares. √2007 = 44 and a bit (it lies between 44 and 45) So there are 44 integers less than (or equal to) 2007 which are perfect squares → 2007 - 44 = 1963 integers are not perfect squares in the range 1-2007 and have an even number of factors (divisors).
What is a perfect Abundant Or dificient number?
A perfect number equals the sum of its proper divisors. A deficient number is greater than the sum of its proper divisors. An abundant number is less than the sum of its proper divisors. Proper divisors of a number do not include the number itself.
How do you find perfect numbers below 30?
A perfect number is a whole number such that when you add up all of the factors less than that number, you get that number.There are only two perfect numbers less than 30. The first one is 6 since 1+2+3-6 next we see that 1 + 2 + 4 + 7 + 14=28 so 28 is the only other perfect number below 30.Euclid proved that 2p−1(2p−1) is an even perfect number whenever 2p−1 is prime.This works for 6 and 28 where p is a prime and is 2 and 3 respectively. Using this formula for p=5, the next perfect number is 24(25−1) = 496The next one is p = 7 where we have 26(27−1) = 8128.The next perfect number is 33550336 we get this with the prime 13.
Is 42 a perfect number?
Use the definition of a perfect number! Add the factors; if the sum of all the factors (excluding the number itself) is equal to the number, it is a perfect number, otherwise it isn't. (Actually, the only perfect numbers less than 100 are 6, and 28.)Use the definition of a perfect number! Add the factors; if the sum of all the factors (excluding the number itself) is equal to the number, it is a perfect number, otherwise it isn't. (Actually, the only perfect numbers less than 100 are 6, and 28.)Use the definition of a perfect number! Add the factors; if the sum of all the factors (excluding the number itself) is equal to the number, it is a perfect number, otherwise it isn't. (Actually, the only perfect numbers less than 100 are 6, and 28.)Use the definition of a perfect number! Add the factors; if the sum of all the factors (excluding the number itself) is equal to the number, it is a perfect number, otherwise it isn't. (Actually, the only perfect numbers less than 100 are 6, and 28.)
What is a perfect number less than 50?
6 and 28 are perfect numbers less than 50.
What are the perfect number less than 100?
300+20+8 is 10 less than what number
Is 31 a perfect number?
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.
Is there a prime number where there is 1 less than a perfect square?
3 is prime, 1 less than the perfect square of 4 (2x2)
What number is a perfect square a even number and less than 16?
It is: 4
How many numbers which are less than 1000 have an odd number of factors?
Perfect squares have an odd number of factors. There are 31 perfect squares less than 1000.
Find perfect number less than forty?
6 and 28
Are there any quasi-perfect numbers?
A "perfect number" is a number that is equal to the sum of its factors (that is, the factors that are less than the number). As far as I know, there is no concept of "quasi-perfect" in number theory.
What even number less than 100 has an odd number of factors?
Perfect squares have odd numbers of factors. The perfect squares less than 100 are: 1,4,9,16,25,36,49,64,81,100. 64 seems to fit both criteria.
There is only one perfect cube number less than 200 whose square root is rational Write down that number?
There are two answers 1 and 64
Are prime numbers more or less common than perfect squares?
Any number squared except 0 is a perfect square so it follows that prime numbers are less common than perfect squares.
