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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
List all the perfect numbers less than 50?
A perfect number is a positive integer that is equal to the sum of its proper divisors (excluding itself). The first four perfect numbers are 6, 28, 496, and 8128. These are the only known perfect numbers less than 50. Perfect numbers are rare and have special properties in number theory.
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.
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 numbers are almost perfect from 5 and 20?
Almost perfect numbers are those that are one less than a perfect number. The perfect numbers between 5 and 20 are 6 and 28, with 6 being the only perfect number in this range. Therefore, the almost perfect number in this interval is 5, as it is one less than 6.
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)
How many whole numbers less than 10 have an odd numbers of unique factors?
A whole number has an odd number of unique factors if and only if it is a perfect square. The perfect squares less than 10 are 0, 1, 4, and 9. Therefore, there are four whole numbers less than 10 that have an odd number of unique factors.
Is 9 an almost perfect number?
No, 9 is not considered an almost perfect number. An almost perfect number is defined as a positive integer that is one less than a perfect number, which has a sum of its proper divisors equal to itself. The smallest almost perfect number is 8, which is one less than the perfect number 16. Therefore, 9 does not fit this classification.
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.
