Yes, as has been known since 1588 For a list of all known perfect numbers see the related link.
Oh, what a happy little question! To find all the factors of 8589869056, we can start by dividing it by numbers starting from 1 and going up. Factors come in pairs, so as we find a factor like 2, we also find its pair like 4294934528. Just keep going with this gentle process, and you'll find all the factors in no time.
Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".
75 is not a Perfect number.
The fourth perfect number is 8128.
496, 8128, 33550336, 8589869056, 137438691328, 2305843008139952128
Yes, as has been known since 1588 For a list of all known perfect numbers see the related link.
No it is not. Here is a lits of some of the first perfect numbers6, 28, 496, 8128, 33550336, 8589869056, 137438691328, 2305843008139952128, 2658455991569831744654692615953842176, 191561942608236107294793378084303638130997321548169216
28 is a perfect number. Add the factors of the number, excluding the number itself. 28: 1 +2 +4 + 7 + 14 = 28. The sum of its factors is the same as the number! The next perfect numbers are 496, 8128, 33550336, 8589869056, 137438691328, 2305843008139952128, 2658455991569831744654692615953842176, and 191561942608236107294793378084303638130997321548169216. Chances are that you won't be using that!
A perfect number is a positive integer that is equal to the sum of its positive divisors other than itself. Thus 6 is a perfect number because it has divisors 1, 2 and 3, the sum of which is 6. There are actually very few perfect numbers in any given range, so rather than waste precious CPU cycles determining the divisors of a number and then summing them to see if it is perfect or not (most of the time it won't be) it is much easier and quicker to simply store them in a static array. A 64-bit unsigned integer can store values in the range 0 to 18,446,744,073,709,551,615, but there are only 8 perfect numbers in this range. Thus the following array will suffice: unsigned long long perfect = {6, 28, 496, 8128, 33550336, 8589869056, 137438691328, 2305843008139952128 }; To determine if a given positive value is perfect or not, simply test to see if it exists in this array. The following function shows how this can be achieved. bool is_perfect(const unsigned long long value) { const unsigned long long perfect[8] = {6, 28, 496, 8128, 33550336, 8589869056, 137438691328, 2305843008139952128}; for(unsigned i=0; i<8; ++i) if(value==perfect[i]) return true; return false; }
Here are the first few: 6 28 496 8128 33550336 8589869056 137438691328 2305843008139952128 2658455991569831744654692615953842176 191561942608236107294793378084303638130997321548169216 I don't know if more of them are known. For more information see oeis.org.
Oh, what a happy little question! To find all the factors of 8589869056, we can start by dividing it by numbers starting from 1 and going up. Factors come in pairs, so as we find a factor like 2, we also find its pair like 4294934528. Just keep going with this gentle process, and you'll find all the factors in no time.
A perfect number, such as 6, is a number that equal the sum of its proper divisors. So for 6 those are 1,2 and 3. The sum of 1+2+3=6. The first four perfect numbers are: 6, 28, 496, 8128 It is worth noting that perfect numbers are pretty rare. Look how far apart the 3 and 4th one are. This pattern continues and the distance between the 4 and 5 large as well! Here are the first 4 again and a few more so you can appreciate how far apart they are after the first 3. 6, 28, 496, 8128, 33550336, 8589869056, 137438691328, 2305843008139952128, 2658455991569831744654692615953842176, 191561942608236107294793378084303638130997321548169216
The sum of the 1st perfect number and 2nd perfect number is. . . 34!
Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".
If by 'perfect number' you mean 'perfect SQUARE', then yes. 49 is an odd number and a perfect square.
496 is the third perfect number and 8128 is the fourth perfect number.