Is 552 a prime number?

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

For 552, the answer is: No, 552 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 552) is as follows: 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.

For 552 to be a prime number, it would have been required that 552 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

552 is a multiple of 1
552 is a multiple of 2
552 is a multiple of 3
552 is a multiple of 4
552 is a multiple of 6
552 is a multiple of 8
552 is a multiple of 12
552 is a multiple of 23
552 is a multiple of 24
552 is a multiple of 46
552 is a multiple of 69
552 is a multiple of 92
552 is a multiple of 138
552 is a multiple of 184
552 is a multiple of 276

For 552 to be a prime number, it would have been required that 552 has only two divisors, i.e., itself and 1.

Is 552 a deficient number?

No, 552 is not a deficient number: to be deficient, 552 should have been such that 552 is larger than the sum of its proper divisors, i.e., the divisors of 552 without 552 itself (that is 1 + 2 + 3 + 4 + 6 + 8 + 12 + 23 + 24 + 46 + 69 + 92 + 138 + 184 + 276 = 888).

In fact, 552 is an abundant number; 552 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 8 + 12 + 23 + 24 + 46 + 69 + 92 + 138 + 184 + 276 = 888). The smallest abundant number is 12.

Parity of 552

552 is an even number, because it is evenly divisible by 2: 552 / 2 = 276.

Find out more:

What is an even number?

Is 552 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 552 is about 23.495.

Thus, the square root of 552 is not an integer, and therefore 552 is not a square number.

What is the square number of 552?

The square of a number (here 552) is the result of the product of this number (552) by itself (i.e., 552 × 552); the square of 552 is sometimes called "raising 552 to the power 2", or "552 squared".

The square of 552 is 304 704 because 552 × 552 = 552² = 304 704.

As a consequence, 552 is the square root of 304 704.

Number of digits of 552

552 is a number with 3 digits.

What are the multiples of 552?

The multiples of 552 are all integers evenly divisible by 552, that is all numbers such that the remainder of the division by 552 is zero. There are infinitely many multiples of 552. The smallest multiples of 552 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 552 too, since 0 × 552 = 0
552: indeed, 552 is a multiple of itself, since 552 is evenly divisible by 552 (we have 552 / 552 = 1, so the remainder of this division is indeed zero)
1 104: indeed, 1 104 = 552 × 2
1 656: indeed, 1 656 = 552 × 3
2 208: indeed, 2 208 = 552 × 4
2 760: indeed, 2 760 = 552 × 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 552). 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 23.495). 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 552

Preceding numbers: …550, 551
Following numbers: 553, 554…

Nearest numbers from 552

Preceding prime number: 547
Following prime number: 557