Is 584 a prime number?

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

For 584, the answer is: No, 584 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 584) is as follows: 1, 2, 4, 8, 73, 146, 292, 584.

For 584 to be a prime number, it would have been required that 584 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

584 is a multiple of 1
584 is a multiple of 2
584 is a multiple of 4
584 is a multiple of 8
584 is a multiple of 73
584 is a multiple of 146
584 is a multiple of 292

For 584 to be a prime number, it would have been required that 584 has only two divisors, i.e., itself and 1.

Is 584 a deficient number?

Yes, 584 is a deficient number, that is to say 584 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 584 without 584 itself (that is 1 + 2 + 4 + 8 + 73 + 146 + 292 = 526).

Parity of 584

584 is an even number, because it is evenly divisible by 2: 584 / 2 = 292.

Find out more:

What is an even number?

Is 584 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 584 is about 24.166.

Thus, the square root of 584 is not an integer, and therefore 584 is not a square number.

What is the square number of 584?

The square of a number (here 584) is the result of the product of this number (584) by itself (i.e., 584 × 584); the square of 584 is sometimes called "raising 584 to the power 2", or "584 squared".

The square of 584 is 341 056 because 584 × 584 = 584² = 341 056.

As a consequence, 584 is the square root of 341 056.

Number of digits of 584

584 is a number with 3 digits.

What are the multiples of 584?

The multiples of 584 are all integers evenly divisible by 584, that is all numbers such that the remainder of the division by 584 is zero. There are infinitely many multiples of 584. The smallest multiples of 584 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 584 too, since 0 × 584 = 0
584: indeed, 584 is a multiple of itself, since 584 is evenly divisible by 584 (we have 584 / 584 = 1, so the remainder of this division is indeed zero)
1 168: indeed, 1 168 = 584 × 2
1 752: indeed, 1 752 = 584 × 3
2 336: indeed, 2 336 = 584 × 4
2 920: indeed, 2 920 = 584 × 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 584). 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 24.166). 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 584

Preceding numbers: …582, 583
Following numbers: 585, 586…

Nearest numbers from 584

Preceding prime number: 577
Following prime number: 587