Is 9341 a prime number? What are the divisors of 9341?

## Is 9341 a prime number?

Yes, 9341 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 9341, the only two divisors are 1 and 9341. Therefore 9341 is a prime number.

As a consequence, 9341 is only a multiple of 1 and 9341.

Since 9341 is a prime number, 9341 is also a deficient number, that is to say 9341 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9341 without 9341 itself (that is 1, by definition!).

## Parity of 9341

9341 is an odd number, because it is not evenly divisible by 2.

## Is 9341 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 9341 is about 96.649.

Thus, the square root of 9341 is not an integer, and therefore 9341 is not a square number.

Anyway, 9341 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9341?

The square of a number (here 9341) is the result of the product of this number (9341) by itself (i.e., 9341 × 9341); the square of 9341 is sometimes called "raising 9341 to the power 2", or "9341 squared".

The square of 9341 is 87 254 281 because 9341 × 9341 = 93412 = 87 254 281.

As a consequence, 9341 is the square root of 87 254 281.

## Number of digits of 9341

9341 is a number with 4 digits.

## What are the multiples of 9341?

The multiples of 9341 are all integers evenly divisible by 9341, that is all numbers such that the remainder of the division by 9341 is zero. There are infinitely many multiples of 9341. The smallest multiples of 9341 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9341 too, since 0 × 9341 = 0
• 9341: indeed, 9341 is a multiple of itself, since 9341 is evenly divisible by 9341 (we have 9341 / 9341 = 1, so the remainder of this division is indeed zero)
• 18 682: indeed, 18 682 = 9341 × 2
• 28 023: indeed, 28 023 = 9341 × 3
• 37 364: indeed, 37 364 = 9341 × 4
• 46 705: indeed, 46 705 = 9341 × 5
• etc.

## Nearest numbers from 9341

Find out whether some integer is a prime number