Is 444 a prime number?

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

For 444, the answer is: No, 444 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 444) is as follows: 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444.

For 444 to be a prime number, it would have been required that 444 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

444 is a multiple of 1
444 is a multiple of 2
444 is a multiple of 3
444 is a multiple of 4
444 is a multiple of 6
444 is a multiple of 12
444 is a multiple of 37
444 is a multiple of 74
444 is a multiple of 111
444 is a multiple of 148
444 is a multiple of 222

For 444 to be a prime number, it would have been required that 444 has only two divisors, i.e., itself and 1.

Is 444 a deficient number?

No, 444 is not a deficient number: to be deficient, 444 should have been such that 444 is larger than the sum of its proper divisors, i.e., the divisors of 444 without 444 itself (that is 1 + 2 + 3 + 4 + 6 + 12 + 37 + 74 + 111 + 148 + 222 = 620).

In fact, 444 is an abundant number; 444 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 12 + 37 + 74 + 111 + 148 + 222 = 620). The smallest abundant number is 12.

Parity of 444

444 is an even number, because it is evenly divisible by 2: 444 / 2 = 222.

Find out more:

What is an even number?

Is 444 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 444 is about 21.071.

Thus, the square root of 444 is not an integer, and therefore 444 is not a square number.

What is the square number of 444?

The square of a number (here 444) is the result of the product of this number (444) by itself (i.e., 444 × 444); the square of 444 is sometimes called "raising 444 to the power 2", or "444 squared".

The square of 444 is 197 136 because 444 × 444 = 444² = 197 136.

As a consequence, 444 is the square root of 197 136.

Number of digits of 444

444 is a number with 3 digits.

What are the multiples of 444?

The multiples of 444 are all integers evenly divisible by 444, that is all numbers such that the remainder of the division by 444 is zero. There are infinitely many multiples of 444. The smallest multiples of 444 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 444 too, since 0 × 444 = 0
444: indeed, 444 is a multiple of itself, since 444 is evenly divisible by 444 (we have 444 / 444 = 1, so the remainder of this division is indeed zero)
888: indeed, 888 = 444 × 2
1 332: indeed, 1 332 = 444 × 3
1 776: indeed, 1 776 = 444 × 4
2 220: indeed, 2 220 = 444 × 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 444). 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 21.071). 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 444

Preceding numbers: …442, 443
Following numbers: 445, 446…

Nearest numbers from 444

Preceding prime number: 443
Following prime number: 449