Oh, dude, the sum of the reciprocals of all the divisors of 6 is 2. Like, you take the divisors of 6, which are 1, 2, 3, and 6, and then you flip them upside down and add them all up. So, 1/1 + 1/2 + 1/3 + 1/6 = 2. Easy peasy, lemon squeezy!
the divisors of 6 are: 1,2,3, and 6.
12, 6, 4, 3, 2, and 1 are the divisors of 12 because these numbers divide 12 without leaving any remainder.
The divisors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
1, 2, 3, 5, 6, 7 and 9
6, 8, 10, 14, 15
1, 2, 3, 4, 6, 8, 12, 24 (sum = 60)
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.
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.
Well, honey, the reciprocal of a number is just 1 divided by that number. So, the reciprocals of 6 and 8 are 1/6 and 1/8. Add those bad boys up, you get 7/24. Flip that sum upside down and you've got yourself the reciprocal of the sum of the reciprocals of 6 and 8, which is 24/7. Math can be a real rollercoaster, but we're just along for the ride!
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
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.
the divisors of 6 are: 1,2,3, and 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.
The two numbers between 5 and 20 that are almost perfect are 6 and 28. An almost perfect number is a number that equals the sum of its proper divisors, excluding itself. The proper divisors of 6 are 1, 2, and 3, which sum up to 6. Similarly, the proper divisors of 28 are 1, 2, 4, 7, and 14, which sum up to 28.
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.
12 and 18
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.