Is 884 a prime number?

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

For 884, the answer is: No, 884 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 884) is as follows: 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884.

For 884 to be a prime number, it would have been required that 884 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

884 is a multiple of 1
884 is a multiple of 2
884 is a multiple of 4
884 is a multiple of 13
884 is a multiple of 17
884 is a multiple of 26
884 is a multiple of 34
884 is a multiple of 52
884 is a multiple of 68
884 is a multiple of 221
884 is a multiple of 442

For 884 to be a prime number, it would have been required that 884 has only two divisors, i.e., itself and 1.

Is 884 a deficient number?

Yes, 884 is a deficient number, that is to say 884 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 884 without 884 itself (that is 1 + 2 + 4 + 13 + 17 + 26 + 34 + 52 + 68 + 221 + 442 = 880).

Parity of 884

884 is an even number, because it is evenly divisible by 2: 884 / 2 = 442.

Find out more:

What is an even number?

Is 884 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 884 is about 29.732.

Thus, the square root of 884 is not an integer, and therefore 884 is not a square number.

What is the square number of 884?

The square of a number (here 884) is the result of the product of this number (884) by itself (i.e., 884 × 884); the square of 884 is sometimes called "raising 884 to the power 2", or "884 squared".

The square of 884 is 781 456 because 884 × 884 = 884² = 781 456.

As a consequence, 884 is the square root of 781 456.

Number of digits of 884

884 is a number with 3 digits.

What are the multiples of 884?

The multiples of 884 are all integers evenly divisible by 884, that is all numbers such that the remainder of the division by 884 is zero. There are infinitely many multiples of 884. The smallest multiples of 884 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 884 too, since 0 × 884 = 0
884: indeed, 884 is a multiple of itself, since 884 is evenly divisible by 884 (we have 884 / 884 = 1, so the remainder of this division is indeed zero)
1 768: indeed, 1 768 = 884 × 2
2 652: indeed, 2 652 = 884 × 3
3 536: indeed, 3 536 = 884 × 4
4 420: indeed, 4 420 = 884 × 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 884). 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 29.732). 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 884

Preceding numbers: …882, 883
Following numbers: 885, 886…

Nearest numbers from 884

Preceding prime number: 883
Following prime number: 887