What are the 5 perfect numbers?

What are the First 5 Perfect Numbers? The first 5 perfect numbers are 6, 28, 496, 8128, and 33550336.

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What are the first 10 perfect numbers?

The first 10 perfect numbers are as follows:
  • 496.
  • 8128.
  • 33550336.
  • 8589869056.
  • 137438691328.
  • 2305843008139952128.

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What are the first 4 perfect numbers?

Euclid laid out the basics of perfect numbers over 2,000 years ago, and he knew that the first four perfect numbers were 6, 28, 496 and 8,128. Since then, many more perfect numbers have been discovered.

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Why is 6 called a perfect number?

perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. The discovery of such numbers is lost in prehistory.

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What are the perfect numbers between 1 and 100?

There are around 51 known perfect numbers. There are only 2 perfect numbers from 1 to 100 which are 6 and 28.

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Perfect Number

42 related questions found

What is the biggest perfect number?

At the moment the largest known Mersenne prime is 2 82 589 933 − 1 2^{82 589 933} - 1 282 589 933−1 (which is also the largest known prime) and the corresponding largest known perfect number is 2 82 589 932 ( 2 82 589 933 − 1 ) 2^{82 589 932} (2^{82 589 933} - 1) 282 589 932(282 589 933−1).

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What are the first 5 perfect numbers?

What are the First 5 Perfect Numbers? The first 5 perfect numbers are 6, 28, 496, 8128, and 33550336.

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Why is 36 not a perfect number?

In mathematics

. It is the smallest number with exactly nine divisors, leading 36 to be a highly composite number. Adding up some subsets of its divisors (e.g., 6, 12, and 18) gives 36; hence, it is a semiperfect number.

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Why 7 is a perfect number?

In the Bible, scholars claim that God created the world in six days and used the seventh day to rest. Because of this, the number seven is used to illustrate an idea of completeness throughout the Bible. In both Islam and Judaism, there are seven heavens.

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Why the number 6174 is mysterious?

This number is renowned for the following rule: Take any four-digit number, using at least two different digits (leading zeros are allowed). Arrange the digits in descending and then in ascending order to get two four-digit numbers, adding leading zeros if necessary. Subtract the smaller number from the bigger number.

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How many perfect numbers are there?

As of 2022, there are 51 known Mersenne primes (and therefore perfect numbers), the largest 17 of which have been discovered by the distributed computing project Great Internet Mersenne Prime Search, or GIMPS.

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Why is 12 a perfect number?

It is the smallest of two known sublime numbers, which are numbers that have a perfect number of divisors whose sum is also perfect. Twelve is the number of divisors of 60 and 90, the second and third unitary perfect numbers (6 is the first).

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Is 4 is a perfect number?

4 is not a perfect number because the sum of its factors (besides 4 itself), 1+2, is less than 4. Numbers like 4 are known as deficient numbers .

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What is the most picked 1/10 number?

drum roll… 7! Almost half of all people chose numbers between 1 and 10. The second-place number was 3, followed by 8, 4, 5, 13, 9, 6, 2, and 11, to round out the top ten choices.

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Why is 9 the perfect number?

The number 9 is revered in Hinduism and considered a complete, perfected and divine number because it represents the end of a cycle in the decimal system, which originated from the Indian subcontinent as early as 3000 BC.

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Is 24 a perfect number?

1+2+3+4+6+8+12+24 =60, so 24 is not a perfect number.

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Why is 8 not a perfect number?

The factors of 8 (excluding the number 8) = 1, 2, 4. Their sum is 1 + 2 + 4 = 7. Therefore, 8 is not a perfect number.

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Is 14 a perfect number?

No, 14 is not a perfect number.

14 is an even number, a composite number, and a rational number, but not a perfect number. The factors of 14 are 1, 2, 7, and 14. The sum of 1, 2, and 7 is 10. Since the sum of the factors other than 14 itself are not equal to 14, 14 is not a perfect number.

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Why is 3 the perfect number?

Three is the smallest number we need to create a pattern, the perfect combination of brevity and rhythm. It's a principle captured neatly in the Latin phrase omne trium perfectum: everything that comes in threes is perfect, or, every set of three is complete.

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Why is 28 a perfect number?

A number is perfect if all of its factors, including 1 but excluding itself, perfectly add up to the number you began with. 6, for example, is perfect, because its factors — 3, 2, and 1 — all sum up to 6. 28 is perfect too: 14, 7, 4, 2, and 1 add up to 28. But perfect numbers aren't common at all.

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Is 10 is a perfect number?

Thus, 10 is not a perfect number.

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Is 39 a perfect number?

It is a perfect totient number. The thirteenth Perrin number is 39, which comes after 17, 22, 29 (it is the sum of the first two mentioned). Since the greatest prime factor of 392 + 1 = 1522 is 761, which is more than 39 twice, 39 is a Størmer number.

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Why is 64 a perfect number?

In base 10, no integer added up to its own digits yields 64, hence it is a self number. 64 is a superperfect number—a number such that σ(σ(n)) = 2n.

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