Is 9743 a prime number? What are the divisors of 9743?

## Is 9743 a prime number?

Yes, 9743 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 9743, the only two divisors are 1 and 9743. Therefore 9743 is a prime number.

As a consequence, 9743 is only a multiple of 1 and 9743.

Since 9743 is a prime number, 9743 is also a deficient number, that is to say 9743 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9743 without 9743 itself (that is 1, by definition!).

## Parity of 9743

9743 is an odd number, because it is not evenly divisible by 2.

## Is 9743 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 9743 is about 98.707.

Thus, the square root of 9743 is not an integer, and therefore 9743 is not a square number.

Anyway, 9743 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9743?

The square of a number (here 9743) is the result of the product of this number (9743) by itself (i.e., 9743 × 9743); the square of 9743 is sometimes called "raising 9743 to the power 2", or "9743 squared".

The square of 9743 is 94 926 049 because 9743 × 9743 = 97432 = 94 926 049.

As a consequence, 9743 is the square root of 94 926 049.

## Number of digits of 9743

9743 is a number with 4 digits.

## What are the multiples of 9743?

The multiples of 9743 are all integers evenly divisible by 9743, that is all numbers such that the remainder of the division by 9743 is zero. There are infinitely many multiples of 9743. The smallest multiples of 9743 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9743 too, since 0 × 9743 = 0
• 9743: indeed, 9743 is a multiple of itself, since 9743 is evenly divisible by 9743 (we have 9743 / 9743 = 1, so the remainder of this division is indeed zero)
• 19 486: indeed, 19 486 = 9743 × 2
• 29 229: indeed, 29 229 = 9743 × 3
• 38 972: indeed, 38 972 = 9743 × 4
• 48 715: indeed, 48 715 = 9743 × 5
• etc.

## Nearest numbers from 9743

Find out whether some integer is a prime number