Is 237 a prime number?

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

For 237, the answer is: No, 237 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 237) is as follows: 1, 3, 79, 237.

For 237 to be a prime number, it would have been required that 237 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

237 is a multiple of 1
237 is a multiple of 3
237 is a multiple of 79

For 237 to be a prime number, it would have been required that 237 has only two divisors, i.e., itself and 1.

However, 237 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 237 = 3 x 79, where 3 and 79 are both prime numbers.

Is 237 a deficient number?

Yes, 237 is a deficient number, that is to say 237 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 237 without 237 itself (that is 1 + 3 + 79 = 83).

Parity of 237

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

Find out more:

What is an even number?

Is 237 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 237 is about 15.395.

Thus, the square root of 237 is not an integer, and therefore 237 is not a square number.

What is the square number of 237?

The square of a number (here 237) is the result of the product of this number (237) by itself (i.e., 237 × 237); the square of 237 is sometimes called "raising 237 to the power 2", or "237 squared".

The square of 237 is 56 169 because 237 × 237 = 237² = 56 169.

As a consequence, 237 is the square root of 56 169.

Number of digits of 237

237 is a number with 3 digits.

What are the multiples of 237?

The multiples of 237 are all integers evenly divisible by 237, that is all numbers such that the remainder of the division by 237 is zero. There are infinitely many multiples of 237. The smallest multiples of 237 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 237 too, since 0 × 237 = 0
237: indeed, 237 is a multiple of itself, since 237 is evenly divisible by 237 (we have 237 / 237 = 1, so the remainder of this division is indeed zero)
474: indeed, 474 = 237 × 2
711: indeed, 711 = 237 × 3
948: indeed, 948 = 237 × 4
1 185: indeed, 1 185 = 237 × 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 237). 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 15.395). 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 237

Preceding numbers: …235, 236
Following numbers: 238, 239…

Nearest numbers from 237

Preceding prime number: 233
Following prime number: 239