Is 9413 a prime number? What are the divisors of 9413?

## Is 9413 a prime number?

Yes, 9413 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 9413, the only two divisors are 1 and 9413. Therefore 9413 is a prime number.

As a consequence, 9413 is only a multiple of 1 and 9413.

Since 9413 is a prime number, 9413 is also a deficient number, that is to say 9413 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9413 without 9413 itself (that is 1, by definition!).

## Parity of 9413

9413 is an odd number, because it is not evenly divisible by 2.

## Is 9413 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 9413 is about 97.021.

Thus, the square root of 9413 is not an integer, and therefore 9413 is not a square number.

Anyway, 9413 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9413?

The square of a number (here 9413) is the result of the product of this number (9413) by itself (i.e., 9413 × 9413); the square of 9413 is sometimes called "raising 9413 to the power 2", or "9413 squared".

The square of 9413 is 88 604 569 because 9413 × 9413 = 94132 = 88 604 569.

As a consequence, 9413 is the square root of 88 604 569.

## Number of digits of 9413

9413 is a number with 4 digits.

## What are the multiples of 9413?

The multiples of 9413 are all integers evenly divisible by 9413, that is all numbers such that the remainder of the division by 9413 is zero. There are infinitely many multiples of 9413. The smallest multiples of 9413 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9413 too, since 0 × 9413 = 0
• 9413: indeed, 9413 is a multiple of itself, since 9413 is evenly divisible by 9413 (we have 9413 / 9413 = 1, so the remainder of this division is indeed zero)
• 18 826: indeed, 18 826 = 9413 × 2
• 28 239: indeed, 28 239 = 9413 × 3
• 37 652: indeed, 37 652 = 9413 × 4
• 47 065: indeed, 47 065 = 9413 × 5
• etc.

## Nearest numbers from 9413

Find out whether some integer is a prime number