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What does Abundant Deficient and perfect mean?
Abundant is a number for which the sum of all its proper factors is greater than the number itself. Deficient is a number for which the sum of all its proper factors is less than the number itself. Perfect is a number for which the sum of all its proper factors is the number itself.
What is the sum of the proper factors of 256?
154 is the sum of the proper factors of 256.
What is the sum of all its proper factors of 5?
Zero. 5 is a prime so its only factors are 1 and 5. It, therefore, has no proper factors.
What number between 20 and 30 has a sum of all its proper factors equal to twice the number itself?
There aren't any numbers like that. You might be thinking of 28, which has a sum of all its factors equal to twice itself, making it a perfect number. Proper factors are a different set.
The sum of the proper factors of 4 is less than 4 List all the numbers through 50 for which the sum of its proper factors is one less than the number itself?
The numbers for which the sum of its proper factors is 1 less than the number is the powers of 2; less than 50 these are: 2, 4, 8, 16 & 32.
What is a number which the sum of all its proper factors is greater then the number?
Those numbers are called abundant.
What is the sum of the proper factors of 75?
48
What is the term for equal to the sum of its proper factors?
A perfect number is the term for a number that is equal to the sum of its proper divisors. Be careful not to confuse that with proper factors. Proper divisors include 1 but not the number itself. Proper factors don't include either I or the original number.
What is an abundant number?
There are three equivalent definitions for an abundant number.A number is abundant if:the sum of all its factors (including itself) is more than double the number;the sum of all factors of the number which are smaller than the number, must be more than the number;the sum of all proper factors of the number must be at least as large as the number.
Equal to the sum of its proper factors?
A perfect number.
What number is also the sum of all its proper factors except itself?
That is one definition of the set of proper factors.
What is the Perfect number and what is the perfect number after 28?
A perfect number is a number that is the sum of all its proper factors (that is all its factors excluding itself). The next perfect number after 28 is 496
