Is 923 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 923, the answer is: No, 923 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 923) is as follows: 1, 13, 71, 923.

For 923 to be a prime number, it would have been required that 923 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

923 is a multiple of 1
923 is a multiple of 13
923 is a multiple of 71

For 923 to be a prime number, it would have been required that 923 has only two divisors, i.e., itself and 1.

However, 923 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 923 = 13 x 71, where 13 and 71 are both prime numbers.

Is 923 a deficient number?

Yes, 923 is a deficient number, that is to say 923 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 923 without 923 itself (that is 1 + 13 + 71 = 85).

Parity of 923

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

Find out more:

What is an even number?

Is 923 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 923 is about 30.381.

Thus, the square root of 923 is not an integer, and therefore 923 is not a square number.

What is the square number of 923?

The square of a number (here 923) is the result of the product of this number (923) by itself (i.e., 923 × 923); the square of 923 is sometimes called "raising 923 to the power 2", or "923 squared".

The square of 923 is 851 929 because 923 × 923 = 923² = 851 929.

As a consequence, 923 is the square root of 851 929.

Number of digits of 923

923 is a number with 3 digits.

What are the multiples of 923?

The multiples of 923 are all integers evenly divisible by 923, that is all numbers such that the remainder of the division by 923 is zero. There are infinitely many multiples of 923. The smallest multiples of 923 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 923 too, since 0 × 923 = 0
923: indeed, 923 is a multiple of itself, since 923 is evenly divisible by 923 (we have 923 / 923 = 1, so the remainder of this division is indeed zero)
1 846: indeed, 1 846 = 923 × 2
2 769: indeed, 2 769 = 923 × 3
3 692: indeed, 3 692 = 923 × 4
4 615: indeed, 4 615 = 923 × 5
etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 923). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 30.381). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 923

Preceding numbers: …921, 922
Following numbers: 924, 925…

Nearest numbers from 923

Preceding prime number: 919
Following prime number: 929