Is 533 a prime number?

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

For 533, the answer is: No, 533 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 533) is as follows: 1, 13, 41, 533.

For 533 to be a prime number, it would have been required that 533 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

533 is a multiple of 1
533 is a multiple of 13
533 is a multiple of 41

For 533 to be a prime number, it would have been required that 533 has only two divisors, i.e., itself and 1.

However, 533 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 533 = 13 x 41, where 13 and 41 are both prime numbers.

Is 533 a deficient number?

Yes, 533 is a deficient number, that is to say 533 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 533 without 533 itself (that is 1 + 13 + 41 = 55).

Parity of 533

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

Find out more:

What is an even number?

Is 533 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 533 is about 23.087.

Thus, the square root of 533 is not an integer, and therefore 533 is not a square number.

What is the square number of 533?

The square of a number (here 533) is the result of the product of this number (533) by itself (i.e., 533 × 533); the square of 533 is sometimes called "raising 533 to the power 2", or "533 squared".

The square of 533 is 284 089 because 533 × 533 = 533² = 284 089.

As a consequence, 533 is the square root of 284 089.

Number of digits of 533

533 is a number with 3 digits.

What are the multiples of 533?

The multiples of 533 are all integers evenly divisible by 533, that is all numbers such that the remainder of the division by 533 is zero. There are infinitely many multiples of 533. The smallest multiples of 533 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 533 too, since 0 × 533 = 0
533: indeed, 533 is a multiple of itself, since 533 is evenly divisible by 533 (we have 533 / 533 = 1, so the remainder of this division is indeed zero)
1 066: indeed, 1 066 = 533 × 2
1 599: indeed, 1 599 = 533 × 3
2 132: indeed, 2 132 = 533 × 4
2 665: indeed, 2 665 = 533 × 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 533). 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 23.087). 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 533

Preceding numbers: …531, 532
Following numbers: 534, 535…

Nearest numbers from 533

Preceding prime number: 523
Following prime number: 541