Is 532 a prime number?

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

For 532, the answer is: No, 532 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 532) is as follows: 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.

For 532 to be a prime number, it would have been required that 532 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

532 is a multiple of 1
532 is a multiple of 2
532 is a multiple of 4
532 is a multiple of 7
532 is a multiple of 14
532 is a multiple of 19
532 is a multiple of 28
532 is a multiple of 38
532 is a multiple of 76
532 is a multiple of 133
532 is a multiple of 266

For 532 to be a prime number, it would have been required that 532 has only two divisors, i.e., itself and 1.

Is 532 a deficient number?

No, 532 is not a deficient number: to be deficient, 532 should have been such that 532 is larger than the sum of its proper divisors, i.e., the divisors of 532 without 532 itself (that is 1 + 2 + 4 + 7 + 14 + 19 + 28 + 38 + 76 + 133 + 266 = 588).

In fact, 532 is an abundant number; 532 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 7 + 14 + 19 + 28 + 38 + 76 + 133 + 266 = 588). The smallest abundant number is 12.

Parity of 532

532 is an even number, because it is evenly divisible by 2: 532 / 2 = 266.

Find out more:

What is an even number?

Is 532 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 532 is about 23.065.

Thus, the square root of 532 is not an integer, and therefore 532 is not a square number.

What is the square number of 532?

The square of a number (here 532) is the result of the product of this number (532) by itself (i.e., 532 × 532); the square of 532 is sometimes called "raising 532 to the power 2", or "532 squared".

The square of 532 is 283 024 because 532 × 532 = 532² = 283 024.

As a consequence, 532 is the square root of 283 024.

Number of digits of 532

532 is a number with 3 digits.

What are the multiples of 532?

The multiples of 532 are all integers evenly divisible by 532, that is all numbers such that the remainder of the division by 532 is zero. There are infinitely many multiples of 532. The smallest multiples of 532 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 532 too, since 0 × 532 = 0
532: indeed, 532 is a multiple of itself, since 532 is evenly divisible by 532 (we have 532 / 532 = 1, so the remainder of this division is indeed zero)
1 064: indeed, 1 064 = 532 × 2
1 596: indeed, 1 596 = 532 × 3
2 128: indeed, 2 128 = 532 × 4
2 660: indeed, 2 660 = 532 × 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 532). 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 23.065). 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 532

Preceding numbers: …530, 531
Following numbers: 533, 534…

Nearest numbers from 532

Preceding prime number: 523
Following prime number: 541