Is 572 a prime number?

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

For 572, the answer is: No, 572 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 572) is as follows: 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.

For 572 to be a prime number, it would have been required that 572 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

572 is a multiple of 1
572 is a multiple of 2
572 is a multiple of 4
572 is a multiple of 11
572 is a multiple of 13
572 is a multiple of 22
572 is a multiple of 26
572 is a multiple of 44
572 is a multiple of 52
572 is a multiple of 143
572 is a multiple of 286

For 572 to be a prime number, it would have been required that 572 has only two divisors, i.e., itself and 1.

Is 572 a deficient number?

No, 572 is not a deficient number: to be deficient, 572 should have been such that 572 is larger than the sum of its proper divisors, i.e., the divisors of 572 without 572 itself (that is 1 + 2 + 4 + 11 + 13 + 22 + 26 + 44 + 52 + 143 + 286 = 604).

In fact, 572 is an abundant number; 572 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 11 + 13 + 22 + 26 + 44 + 52 + 143 + 286 = 604). The smallest abundant number is 12.

Parity of 572

572 is an even number, because it is evenly divisible by 2: 572 / 2 = 286.

Find out more:

What is an even number?

Is 572 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 572 is about 23.917.

Thus, the square root of 572 is not an integer, and therefore 572 is not a square number.

What is the square number of 572?

The square of a number (here 572) is the result of the product of this number (572) by itself (i.e., 572 × 572); the square of 572 is sometimes called "raising 572 to the power 2", or "572 squared".

The square of 572 is 327 184 because 572 × 572 = 572² = 327 184.

As a consequence, 572 is the square root of 327 184.

Number of digits of 572

572 is a number with 3 digits.

What are the multiples of 572?

The multiples of 572 are all integers evenly divisible by 572, that is all numbers such that the remainder of the division by 572 is zero. There are infinitely many multiples of 572. The smallest multiples of 572 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 572 too, since 0 × 572 = 0
572: indeed, 572 is a multiple of itself, since 572 is evenly divisible by 572 (we have 572 / 572 = 1, so the remainder of this division is indeed zero)
1 144: indeed, 1 144 = 572 × 2
1 716: indeed, 1 716 = 572 × 3
2 288: indeed, 2 288 = 572 × 4
2 860: indeed, 2 860 = 572 × 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 572). 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 23.917). 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 572

Preceding numbers: …570, 571
Following numbers: 573, 574…

Nearest numbers from 572

Preceding prime number: 571
Following prime number: 577