Is 583 a prime number?

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

For 583, the answer is: No, 583 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 583) is as follows: 1, 11, 53, 583.

For 583 to be a prime number, it would have been required that 583 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

583 is a multiple of 1
583 is a multiple of 11
583 is a multiple of 53

For 583 to be a prime number, it would have been required that 583 has only two divisors, i.e., itself and 1.

However, 583 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 583 = 11 x 53, where 11 and 53 are both prime numbers.

Is 583 a deficient number?

Yes, 583 is a deficient number, that is to say 583 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 583 without 583 itself (that is 1 + 11 + 53 = 65).

Parity of 583

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

Find out more:

What is an even number?

Is 583 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 583 is about 24.145.

Thus, the square root of 583 is not an integer, and therefore 583 is not a square number.

What is the square number of 583?

The square of a number (here 583) is the result of the product of this number (583) by itself (i.e., 583 × 583); the square of 583 is sometimes called "raising 583 to the power 2", or "583 squared".

The square of 583 is 339 889 because 583 × 583 = 583² = 339 889.

As a consequence, 583 is the square root of 339 889.

Number of digits of 583

583 is a number with 3 digits.

What are the multiples of 583?

The multiples of 583 are all integers evenly divisible by 583, that is all numbers such that the remainder of the division by 583 is zero. There are infinitely many multiples of 583. The smallest multiples of 583 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 583 too, since 0 × 583 = 0
583: indeed, 583 is a multiple of itself, since 583 is evenly divisible by 583 (we have 583 / 583 = 1, so the remainder of this division is indeed zero)
1 166: indeed, 1 166 = 583 × 2
1 749: indeed, 1 749 = 583 × 3
2 332: indeed, 2 332 = 583 × 4
2 915: indeed, 2 915 = 583 × 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 583). 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 24.145). 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 583

Preceding numbers: …581, 582
Following numbers: 584, 585…

Nearest numbers from 583

Preceding prime number: 577
Following prime number: 587