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What is the sum of the reciprocals of all the divisors of 6 is?
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∙ 12y ago
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∙ 12y ago
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What are the divisors of 6?
the divisors of 6 are: 1,2,3, and 6.
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 are the divisors of 24?
The divisors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
What numbers less than 18 have exactly four divisors such as the number 6 has these four divisors 1 2 3 and 6 List your answers as a comma-separated list?
6, 8, 10, 14, 15
What are the divisors of 48?
The divisors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
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.
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.
What are the perfection 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.
What are the divisors of 6?
the divisors of 6 are: 1,2,3, and 6.
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.
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.
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 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.
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 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
