Is 5413 a prime number? What are the divisors of 5413?

## Is 5413 a prime number?

Yes, 5413 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 5413, the only two divisors are 1 and 5413. Therefore 5413 is a prime number.

As a consequence, 5413 is only a multiple of 1 and 5413.

Since 5413 is a prime number, 5413 is also a deficient number, that is to say 5413 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5413 without 5413 itself (that is 1, by definition!).

## Parity of 5413

5413 is an odd number, because it is not evenly divisible by 2.

## Is 5413 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 5413 is about 73.573.

Thus, the square root of 5413 is not an integer, and therefore 5413 is not a square number.

Anyway, 5413 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5413?

The square of a number (here 5413) is the result of the product of this number (5413) by itself (i.e., 5413 × 5413); the square of 5413 is sometimes called "raising 5413 to the power 2", or "5413 squared".

The square of 5413 is 29 300 569 because 5413 × 5413 = 54132 = 29 300 569.

As a consequence, 5413 is the square root of 29 300 569.

## Number of digits of 5413

5413 is a number with 4 digits.

## What are the multiples of 5413?

The multiples of 5413 are all integers evenly divisible by 5413, that is all numbers such that the remainder of the division by 5413 is zero. There are infinitely many multiples of 5413. The smallest multiples of 5413 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5413 too, since 0 × 5413 = 0
• 5413: indeed, 5413 is a multiple of itself, since 5413 is evenly divisible by 5413 (we have 5413 / 5413 = 1, so the remainder of this division is indeed zero)
• 10 826: indeed, 10 826 = 5413 × 2
• 16 239: indeed, 16 239 = 5413 × 3
• 21 652: indeed, 21 652 = 5413 × 4
• 27 065: indeed, 27 065 = 5413 × 5
• etc.

## Nearest numbers from 5413

Find out whether some integer is a prime number