Is 9241 a prime number? What are the divisors of 9241?

## Is 9241 a prime number?

Yes, 9241 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 9241, the only two divisors are 1 and 9241. Therefore 9241 is a prime number.

As a consequence, 9241 is only a multiple of 1 and 9241.

Since 9241 is a prime number, 9241 is also a deficient number, that is to say 9241 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9241 without 9241 itself (that is 1, by definition!).

## Parity of 9241

9241 is an odd number, because it is not evenly divisible by 2.

## Is 9241 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 9241 is about 96.130.

Thus, the square root of 9241 is not an integer, and therefore 9241 is not a square number.

Anyway, 9241 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9241?

The square of a number (here 9241) is the result of the product of this number (9241) by itself (i.e., 9241 × 9241); the square of 9241 is sometimes called "raising 9241 to the power 2", or "9241 squared".

The square of 9241 is 85 396 081 because 9241 × 9241 = 92412 = 85 396 081.

As a consequence, 9241 is the square root of 85 396 081.

## Number of digits of 9241

9241 is a number with 4 digits.

## What are the multiples of 9241?

The multiples of 9241 are all integers evenly divisible by 9241, that is all numbers such that the remainder of the division by 9241 is zero. There are infinitely many multiples of 9241. The smallest multiples of 9241 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9241 too, since 0 × 9241 = 0
• 9241: indeed, 9241 is a multiple of itself, since 9241 is evenly divisible by 9241 (we have 9241 / 9241 = 1, so the remainder of this division is indeed zero)
• 18 482: indeed, 18 482 = 9241 × 2
• 27 723: indeed, 27 723 = 9241 × 3
• 36 964: indeed, 36 964 = 9241 × 4
• 46 205: indeed, 46 205 = 9241 × 5
• etc.

## Nearest numbers from 9241

Find out whether some integer is a prime number