Is 573 a prime number?

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

For 573, the answer is: No, 573 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 573) is as follows: 1, 3, 191, 573.

For 573 to be a prime number, it would have been required that 573 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

573 is a multiple of 1
573 is a multiple of 3
573 is a multiple of 191

For 573 to be a prime number, it would have been required that 573 has only two divisors, i.e., itself and 1.

However, 573 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 573 = 3 x 191, where 3 and 191 are both prime numbers.

Is 573 a deficient number?

Yes, 573 is a deficient number, that is to say 573 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 573 without 573 itself (that is 1 + 3 + 191 = 195).

Parity of 573

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

Find out more:

What is an even number?

Is 573 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 573 is about 23.937.

Thus, the square root of 573 is not an integer, and therefore 573 is not a square number.

What is the square number of 573?

The square of a number (here 573) is the result of the product of this number (573) by itself (i.e., 573 × 573); the square of 573 is sometimes called "raising 573 to the power 2", or "573 squared".

The square of 573 is 328 329 because 573 × 573 = 573² = 328 329.

As a consequence, 573 is the square root of 328 329.

Number of digits of 573

573 is a number with 3 digits.

What are the multiples of 573?

The multiples of 573 are all integers evenly divisible by 573, that is all numbers such that the remainder of the division by 573 is zero. There are infinitely many multiples of 573. The smallest multiples of 573 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 573 too, since 0 × 573 = 0
573: indeed, 573 is a multiple of itself, since 573 is evenly divisible by 573 (we have 573 / 573 = 1, so the remainder of this division is indeed zero)
1 146: indeed, 1 146 = 573 × 2
1 719: indeed, 1 719 = 573 × 3
2 292: indeed, 2 292 = 573 × 4
2 865: indeed, 2 865 = 573 × 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 573). 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 23.937). 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 573

Preceding numbers: …571, 572
Following numbers: 574, 575…

Nearest numbers from 573

Preceding prime number: 571
Following prime number: 577