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Bank Exam » Bank Exam Study Materials » Quantitative Aptitude » Perfect Number
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Perfect Number

In the theory of number, any Perfect Number is eventually a positive integer which is gradually equal to the overall sum of the positive divisors which normally exclude the number itself.

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The Perfect Number is the positive integer that is equal to the total sum of every positive number included in the positive divisors but the number mentioned itself is excluded from the sum. For example,1,2,3 has a sum of 6 which makes it a Perfect Number. The total sum of each divisor excludes the Perfect Number itself. This part is known as the aliquot sum, so the conclusion is that a Perfect Number is a number that is equal to an aliquot sum.

Perfect square Number

A Perfect square Number is a number that is given in the number system, this can be properly expressed as a form of the square where the number is mentioned in the particular number system. A Perfect Square is a number that is obtained by squaring the whole number through an integer. the usual notation of any square numbers is gradually done with n. Kolkata the name of the square number normally comes from the name of each of its shapes. The overall unit of the area is gradually defined as the area of the unit square that is the number that is represented by the n points. A Perfect square Number is a number that is a nonnegative number where the integer is gradually the square number of every square root which is again an integer itself. A positive integer itself is not a Perfect Square divisor except the one which is called square-free altogether. For any nonnegative integer, the n square number is the zeroth one only. Any concept of the square number can also gradually be extended to another number system as well. The square of each negative number is gradually being even and also divisible by 4. Every odd Perfect Square is also centred as an octagonal number altogether. The total difference between any two odd Perfect Squares is an overall multiple of 8.

What is a Perfect Number?

A Perfect square Number is a number that is given in the system of the numbers which can also be expressed as the square of a number through a similar system of the number. The Perfect Number examples are 6 and 28. This theory which is called the fundamental theorem of arithmetic eventually states that every positive integer is greater than the one which can also be expressed as the product of the prime number which is done in a very unique fashion. The reason for this is that the primes can also be regarded as multi allocative of every natural number. Since the last part of the 20th century during the innovations of the computers through its usage millions of digits have been used for the discovery of prime numbers.

Usage of Perfect Numbers

A Perfect Number is something that is the positive integer of the addition of every proper divisor. The Perfect Number can gradually be put to use to find the addition of every proper divisor of a particular number which is perfect excluding the number itself. A Perfect Number is the addition of every proper factor which is normally equal to the number altogether. Number 6 is a Perfect Number example because in one two and three sums up to 6 while on the other hand 4 is eventually not a Perfect Number. After all, you can just add up to 4 with only two divisible numbers of it.

Conclusion

In the numerical order, the Perfect Numbers eventually give a very good theory of the number is also an example to the general idea of the classification, and every perfect have a specific form towards itself. The Perfect square Numbers are also generally used mathematically at a wide range and can also be represented in the educational background towards the student as well. All even Perfect Numbers have a precise form while on the other hand every odd Perfect Number is either does not exist or are rare.

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