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Q: What is the sum of the reciprocals of all the divisors of 6 is?
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What are the proper divisors of 24 and the sum of these divisors?

1, 2, 3, 4, 6, 8, 12, 24 (sum = 60)


Is 8 a perfect number?

A perfect number is the sum of its divisors; for example 6 is a perfect number because the sum of its divisors is 6 (1 + 2 + 3). The sum of the divisors of 8 is 7 (1 + 2 + 4), so 8 is not a perfect number.


What are the perfect numbers?

A number is considered perfect if it is equal to the sum of all its positive factors/divisors, excluding itself. These are the first few perfect numbers: * 6 * 28 * 496 * 8128 * 33550336 * 8589869056A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. An example 1+2+3=6 and 1x2x3=6


Why 21 is not a perfect number?

First, you want to know the definition of a perfect number: A perfect number is an integer which is equal to the sum of all its positive integer divisors that are less than itself. Example: The positive integer divisors of 6, less than 6, are 1, 2, and 3. The sum of those divisors is 1 + 2 + 3 = 6. Therefore, 6 is a perfect number. Now, 21 does not meet this definition and therefore is not a perfect number. Let's try it. There are three positive divisors of 21, namely, 1, 3, and 7, that are less than 21, itself. (There are no others.) But the sum of these divisors is 1 + 3 + 7 = 11, which is not equal to 21. Therefore, we confirm that 21 is not a perfect number.


Why is 496 a perfect number?

Divisors of 496 are 1, 2, 4, 8, 16, 31, 62, 124 and 248 and the sum of all these divisors is 496 (1+2+4+8+16+31+62+124+248=496) so 496 is a perfect number.The first perfect number is 6, because 1, 2, and 3 are its proper positive divisors, and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors: (1 + 2 + 3 + 6) / 2 = 6.


Is 16 a prefect number?

16 is not a perfect number as defined by Euchlid and Euler. 6 is a perfect number, by their definition, because it is the sum of all its proper positive divisors - all numbers that will divide into the number excluding itself - (1 + 2 + 3) = 6, and equal to half the sum of all its positive divisors, including itself (1 + 2 + 3 + 6)/2 = 6. 28 is the next number. There is still an unsolved mystery in number theory as to whether there can be an odd perfect number.


Ditloid puzzle 6 I A P N?

"Six Is A Perfect Number", meaning that it is the sum of its proper divisors: 6 = 1 + 2 + 3.


What Is so perfect about the number 6?

6 is defined as a perfect number because the sum of the divisors of 6 (1,2,3,6) sum up to 12, which is twice 6. Equivalently, the sum of its proper divisors (1,2,3) is the number itself.The origin of the phrase perfect number is unclear, but some theologians suggest it originates from the Bible, where God created the world in six days, with man on the sixth day.


What are the divisors of 6?

the divisors of 6 are: 1,2,3, and 6.


One number is 3 times another number. If the sum of the reciprocals of the number is 1 divided by 6. What are the two numbers?

12 and 18


What is the sum of the divisors of 1722?

Sum: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 = 4,032


What is a perfect number and give an example of one?

A perfect number is equal to the sum of its proper divisors (the factors excluding the number itself.) 6 is a perfect number. Its proper divisors are 1, 2 and 3.


What are all the perfect numbers 1 - 300?

-299


What is the reciprocal of the sum of the reciprocals of 6 and 8 and how did solve?

The sum of the reciprocals of 6 and 8 equals to 7/24.1/6 + 1/8 (multiply by 4/4 the first fraction, multiply by 3/3 the second fraction, since their common denominator is 24)= 1x4/6x4 + 1x3/8x3= 4/24 + 3/24= 7/24Thus, the reciprocal of 7/24 is 24/7.


How do you show 36 as an abundant number?

The sum of its proper divisors 1, 2, 3, 4, 6, 9, 12, 18 is greater than 36.


What are all the divisors of 12?

12, 6, 4, 3, 2, and 1 are the divisors of 12 because these numbers divide 12 without leaving any remainder.


What is the sum of the reciprocals of the divisors of 360?

The answer is 3.25 or 13/4 First, notice that if you multiply the reciprocal of a divisor by 360, it's the same as dividing 360 by the divisor, so you get another divisor of 360. This means that if we multiply the sum we want by 360, each reciprocal-of-a-divisor becomes a divisor, and we get the sum of divisors of 360. This is far easier to calculate, so we'll find the sum of the divisors first, and then divide by 360. The prime factorization of 360 is 2*2*2*3*3*5, so the divisors are: 1, 2, 2*2, 2*2*2,3, 2*3, 2*2*3, 2*2*2*3,3*3, 2*3*3, 2*2*3*3, 2*2*2*3*3,5, 2*5, 2*2*5, 2*2*2*5,3*5, 2*3*5, 2*2*3*5, 2*2*2*3*5,3*3*5, 2*3*3*5, 2*2*3*3*5, 2*2*2*3*3*5.The way I have grouped them is for a reason. First, the second group is 5 times the first group, so the sum of the divisors is (1+5) times the first group. Second, in the first group, the second row is 3 times the first, and the third row is 9 times the first, so the sum of the first group is (1+3+9) times the first row. Finally, the sum of the first row is (1+2+4+8). So the sum of all the divisors is (1+5)(1+3+9)(1+2+4+8) = 6*13*15 = 1170. Now to get our final answer we have to divide by 360, getting 3.25. Of course, we could also get the answer by listing all the reciprocals and adding them. But this method works exactly the same way for any number, provided you can factor it. ----------------------------------------- New Question ---------------------------------------------- How would we get the fraction 360/1170 in this problem?


What kind of number is 2923?

Not sure what properties you are asking for so here are some. 1. It is a whole number 2. It is an integer 3. It is rational 4. It is composite 5. It is a deficient number, meaning it is less that the sum of all its divisors. 6. It is an odd number.


What are all the divisors for 78?

1, 2, 3, 6, 13, 26, 39, 78


What are all of the divisors of 24?

1, 2, 3, 4, 6, 8, 12, 24.


What are the common divisors of 60 and 126?

The common divisors are 1, 2, 3, 6.


How many divisors does 1000000 have?

1000000 is 10^6, so it's 2^6*5^6, which has 7*7=49divisors


How many numbers between 1-10 are divisors of 48?

1,2,3,4,6,8 are divisors of 48, so there are 6 divisors of 48 between 1 and 10


What are the single digit divisors of 7000?

It has totally 32 divisors and there are 6 single-digit divisors for 7000. Thanks


What are all the divisors of 276?

276 has 12 divisors (also called factors): 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.