Is 323 a prime number?

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

For 323, the answer is: No, 323 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 323) is as follows: 1, 17, 19, 323.

For 323 to be a prime number, it would have been required that 323 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

323 is a multiple of 1
323 is a multiple of 17
323 is a multiple of 19

For 323 to be a prime number, it would have been required that 323 has only two divisors, i.e., itself and 1.

However, 323 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 323 = 17 x 19, where 17 and 19 are both prime numbers.

Is 323 a deficient number?

Yes, 323 is a deficient number, that is to say 323 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 323 without 323 itself (that is 1 + 17 + 19 = 37).

Parity of 323

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

Find out more:

What is an even number?

Is 323 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 323 is about 17.972.

Thus, the square root of 323 is not an integer, and therefore 323 is not a square number.

What is the square number of 323?

The square of a number (here 323) is the result of the product of this number (323) by itself (i.e., 323 × 323); the square of 323 is sometimes called "raising 323 to the power 2", or "323 squared".

The square of 323 is 104 329 because 323 × 323 = 323² = 104 329.

As a consequence, 323 is the square root of 104 329.

Number of digits of 323

323 is a number with 3 digits.

What are the multiples of 323?

The multiples of 323 are all integers evenly divisible by 323, that is all numbers such that the remainder of the division by 323 is zero. There are infinitely many multiples of 323. The smallest multiples of 323 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 323 too, since 0 × 323 = 0
323: indeed, 323 is a multiple of itself, since 323 is evenly divisible by 323 (we have 323 / 323 = 1, so the remainder of this division is indeed zero)
646: indeed, 646 = 323 × 2
969: indeed, 969 = 323 × 3
1 292: indeed, 1 292 = 323 × 4
1 615: indeed, 1 615 = 323 × 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 323). 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 17.972). 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 323

Preceding numbers: …321, 322
Following numbers: 324, 325…

Nearest numbers from 323

Preceding prime number: 317
Following prime number: 331