Is 531 a prime number?

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

For 531, the answer is: No, 531 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 531) is as follows: 1, 3, 9, 59, 177, 531.

For 531 to be a prime number, it would have been required that 531 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

531 is a multiple of 1
531 is a multiple of 3
531 is a multiple of 9
531 is a multiple of 59
531 is a multiple of 177

For 531 to be a prime number, it would have been required that 531 has only two divisors, i.e., itself and 1.

Is 531 a deficient number?

Yes, 531 is a deficient number, that is to say 531 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 531 without 531 itself (that is 1 + 3 + 9 + 59 + 177 = 249).

Parity of 531

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

Find out more:

What is an even number?

Is 531 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 531 is about 23.043.

Thus, the square root of 531 is not an integer, and therefore 531 is not a square number.

What is the square number of 531?

The square of a number (here 531) is the result of the product of this number (531) by itself (i.e., 531 × 531); the square of 531 is sometimes called "raising 531 to the power 2", or "531 squared".

The square of 531 is 281 961 because 531 × 531 = 531² = 281 961.

As a consequence, 531 is the square root of 281 961.

Number of digits of 531

531 is a number with 3 digits.

What are the multiples of 531?

The multiples of 531 are all integers evenly divisible by 531, that is all numbers such that the remainder of the division by 531 is zero. There are infinitely many multiples of 531. The smallest multiples of 531 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 531 too, since 0 × 531 = 0
531: indeed, 531 is a multiple of itself, since 531 is evenly divisible by 531 (we have 531 / 531 = 1, so the remainder of this division is indeed zero)
1 062: indeed, 1 062 = 531 × 2
1 593: indeed, 1 593 = 531 × 3
2 124: indeed, 2 124 = 531 × 4
2 655: indeed, 2 655 = 531 × 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 531). 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 23.043). 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 531

Preceding numbers: …529, 530
Following numbers: 532, 533…

Nearest numbers from 531

Preceding prime number: 523
Following prime number: 541