Is 10093 a prime number? What are the divisors of 10093?

## Is 10093 a prime number?

Yes, 10093 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 10093, the only two divisors are 1 and 10093. Therefore 10093 is a prime number.

As a consequence, 10093 is only a multiple of 1 and 10093.

Since 10093 is a prime number, 10093 is also a deficient number, that is to say 10093 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10093 without 10093 itself (that is 1, by definition!).

## Parity of 10093

10093 is an odd number, because it is not evenly divisible by 2.

## Is 10093 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 10093 is about 100.464.

Thus, the square root of 10093 is not an integer, and therefore 10093 is not a square number.

Anyway, 10093 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10093?

The square of a number (here 10093) is the result of the product of this number (10093) by itself (i.e., 10093 × 10093); the square of 10093 is sometimes called "raising 10093 to the power 2", or "10093 squared".

The square of 10093 is 101 868 649 because 10093 × 10093 = 100932 = 101 868 649.

As a consequence, 10093 is the square root of 101 868 649.

## Number of digits of 10093

10093 is a number with 5 digits.

## What are the multiples of 10093?

The multiples of 10093 are all integers evenly divisible by 10093, that is all numbers such that the remainder of the division by 10093 is zero. There are infinitely many multiples of 10093. The smallest multiples of 10093 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10093 too, since 0 × 10093 = 0
• 10093: indeed, 10093 is a multiple of itself, since 10093 is evenly divisible by 10093 (we have 10093 / 10093 = 1, so the remainder of this division is indeed zero)
• 20 186: indeed, 20 186 = 10093 × 2
• 30 279: indeed, 30 279 = 10093 × 3
• 40 372: indeed, 40 372 = 10093 × 4
• 50 465: indeed, 50 465 = 10093 × 5
• etc.

## Nearest numbers from 10093

Find out whether some integer is a prime number