Is 10993 a prime number? What are the divisors of 10993?

## Is 10993 a prime number?

Yes, 10993 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 10993, the only two divisors are 1 and 10993. Therefore 10993 is a prime number.

As a consequence, 10993 is only a multiple of 1 and 10993.

Since 10993 is a prime number, 10993 is also a deficient number, that is to say 10993 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10993 without 10993 itself (that is 1, by definition!).

## Parity of 10993

10993 is an odd number, because it is not evenly divisible by 2.

## Is 10993 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 10993 is about 104.848.

Thus, the square root of 10993 is not an integer, and therefore 10993 is not a square number.

Anyway, 10993 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10993?

The square of a number (here 10993) is the result of the product of this number (10993) by itself (i.e., 10993 × 10993); the square of 10993 is sometimes called "raising 10993 to the power 2", or "10993 squared".

The square of 10993 is 120 846 049 because 10993 × 10993 = 109932 = 120 846 049.

As a consequence, 10993 is the square root of 120 846 049.

## Number of digits of 10993

10993 is a number with 5 digits.

## What are the multiples of 10993?

The multiples of 10993 are all integers evenly divisible by 10993, that is all numbers such that the remainder of the division by 10993 is zero. There are infinitely many multiples of 10993. The smallest multiples of 10993 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10993 too, since 0 × 10993 = 0
• 10993: indeed, 10993 is a multiple of itself, since 10993 is evenly divisible by 10993 (we have 10993 / 10993 = 1, so the remainder of this division is indeed zero)
• 21 986: indeed, 21 986 = 10993 × 2
• 32 979: indeed, 32 979 = 10993 × 3
• 43 972: indeed, 43 972 = 10993 × 4
• 54 965: indeed, 54 965 = 10993 × 5
• etc.

## Nearest numbers from 10993

Find out whether some integer is a prime number