Is 618 a prime number?

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

For 618, the answer is: No, 618 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 618) is as follows: 1, 2, 3, 6, 103, 206, 309, 618.

For 618 to be a prime number, it would have been required that 618 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

618 is a multiple of 1
618 is a multiple of 2
618 is a multiple of 3
618 is a multiple of 6
618 is a multiple of 103
618 is a multiple of 206
618 is a multiple of 309

For 618 to be a prime number, it would have been required that 618 has only two divisors, i.e., itself and 1.

Is 618 a deficient number?

No, 618 is not a deficient number: to be deficient, 618 should have been such that 618 is larger than the sum of its proper divisors, i.e., the divisors of 618 without 618 itself (that is 1 + 2 + 3 + 6 + 103 + 206 + 309 = 630).

In fact, 618 is an abundant number; 618 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 103 + 206 + 309 = 630). The smallest abundant number is 12.

Parity of 618

618 is an even number, because it is evenly divisible by 2: 618 / 2 = 309.

Find out more:

What is an even number?

Is 618 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 618 is about 24.860.

Thus, the square root of 618 is not an integer, and therefore 618 is not a square number.

What is the square number of 618?

The square of a number (here 618) is the result of the product of this number (618) by itself (i.e., 618 × 618); the square of 618 is sometimes called "raising 618 to the power 2", or "618 squared".

The square of 618 is 381 924 because 618 × 618 = 618² = 381 924.

As a consequence, 618 is the square root of 381 924.

Number of digits of 618

618 is a number with 3 digits.

What are the multiples of 618?

The multiples of 618 are all integers evenly divisible by 618, that is all numbers such that the remainder of the division by 618 is zero. There are infinitely many multiples of 618. The smallest multiples of 618 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 618 too, since 0 × 618 = 0
618: indeed, 618 is a multiple of itself, since 618 is evenly divisible by 618 (we have 618 / 618 = 1, so the remainder of this division is indeed zero)
1 236: indeed, 1 236 = 618 × 2
1 854: indeed, 1 854 = 618 × 3
2 472: indeed, 2 472 = 618 × 4
3 090: indeed, 3 090 = 618 × 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 618). 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 24.860). 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 618

Preceding numbers: …616, 617
Following numbers: 619, 620…

Nearest numbers from 618

Preceding prime number: 617
Following prime number: 619