Is 918 a prime number?

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

For 918, the answer is: No, 918 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 918) is as follows: 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918.

For 918 to be a prime number, it would have been required that 918 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

918 is a multiple of 1
918 is a multiple of 2
918 is a multiple of 3
918 is a multiple of 6
918 is a multiple of 9
918 is a multiple of 17
918 is a multiple of 18
918 is a multiple of 27
918 is a multiple of 34
918 is a multiple of 51
918 is a multiple of 54
918 is a multiple of 102
918 is a multiple of 153
918 is a multiple of 306
918 is a multiple of 459

For 918 to be a prime number, it would have been required that 918 has only two divisors, i.e., itself and 1.

Is 918 a deficient number?

No, 918 is not a deficient number: to be deficient, 918 should have been such that 918 is larger than the sum of its proper divisors, i.e., the divisors of 918 without 918 itself (that is 1 + 2 + 3 + 6 + 9 + 17 + 18 + 27 + 34 + 51 + 54 + 102 + 153 + 306 + 459 = 1 242).

In fact, 918 is an abundant number; 918 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 9 + 17 + 18 + 27 + 34 + 51 + 54 + 102 + 153 + 306 + 459 = 1 242). The smallest abundant number is 12.

Parity of 918

918 is an even number, because it is evenly divisible by 2: 918 / 2 = 459.

Find out more:

What is an even number?

Is 918 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 918 is about 30.299.

Thus, the square root of 918 is not an integer, and therefore 918 is not a square number.

What is the square number of 918?

The square of a number (here 918) is the result of the product of this number (918) by itself (i.e., 918 × 918); the square of 918 is sometimes called "raising 918 to the power 2", or "918 squared".

The square of 918 is 842 724 because 918 × 918 = 918² = 842 724.

As a consequence, 918 is the square root of 842 724.

Number of digits of 918

918 is a number with 3 digits.

What are the multiples of 918?

The multiples of 918 are all integers evenly divisible by 918, that is all numbers such that the remainder of the division by 918 is zero. There are infinitely many multiples of 918. The smallest multiples of 918 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 918 too, since 0 × 918 = 0
918: indeed, 918 is a multiple of itself, since 918 is evenly divisible by 918 (we have 918 / 918 = 1, so the remainder of this division is indeed zero)
1 836: indeed, 1 836 = 918 × 2
2 754: indeed, 2 754 = 918 × 3
3 672: indeed, 3 672 = 918 × 4
4 590: indeed, 4 590 = 918 × 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 918). 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 30.299). 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 918

Preceding numbers: …916, 917
Following numbers: 919, 920…

Nearest numbers from 918

Preceding prime number: 911
Following prime number: 919