Is 553 a prime number?

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

For 553, the answer is: No, 553 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 553) is as follows: 1, 7, 79, 553.

For 553 to be a prime number, it would have been required that 553 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

553 is a multiple of 1
553 is a multiple of 7
553 is a multiple of 79

For 553 to be a prime number, it would have been required that 553 has only two divisors, i.e., itself and 1.

However, 553 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 553 = 7 x 79, where 7 and 79 are both prime numbers.

Is 553 a deficient number?

Yes, 553 is a deficient number, that is to say 553 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 553 without 553 itself (that is 1 + 7 + 79 = 87).

Parity of 553

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

Find out more:

What is an even number?

Is 553 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 553 is about 23.516.

Thus, the square root of 553 is not an integer, and therefore 553 is not a square number.

What is the square number of 553?

The square of a number (here 553) is the result of the product of this number (553) by itself (i.e., 553 × 553); the square of 553 is sometimes called "raising 553 to the power 2", or "553 squared".

The square of 553 is 305 809 because 553 × 553 = 553² = 305 809.

As a consequence, 553 is the square root of 305 809.

Number of digits of 553

553 is a number with 3 digits.

What are the multiples of 553?

The multiples of 553 are all integers evenly divisible by 553, that is all numbers such that the remainder of the division by 553 is zero. There are infinitely many multiples of 553. The smallest multiples of 553 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 553 too, since 0 × 553 = 0
553: indeed, 553 is a multiple of itself, since 553 is evenly divisible by 553 (we have 553 / 553 = 1, so the remainder of this division is indeed zero)
1 106: indeed, 1 106 = 553 × 2
1 659: indeed, 1 659 = 553 × 3
2 212: indeed, 2 212 = 553 × 4
2 765: indeed, 2 765 = 553 × 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 553). 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 23.516). 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 553

Preceding numbers: …551, 552
Following numbers: 554, 555…

Nearest numbers from 553

Preceding prime number: 547
Following prime number: 557