Is 446 a prime number?

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

For 446, the answer is: No, 446 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 446) is as follows: 1, 2, 223, 446.

For 446 to be a prime number, it would have been required that 446 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

446 is a multiple of 1
446 is a multiple of 2
446 is a multiple of 223

For 446 to be a prime number, it would have been required that 446 has only two divisors, i.e., itself and 1.

However, 446 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 446 = 2 x 223, where 2 and 223 are both prime numbers.

Is 446 a deficient number?

Yes, 446 is a deficient number, that is to say 446 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 446 without 446 itself (that is 1 + 2 + 223 = 226).

Parity of 446

446 is an even number, because it is evenly divisible by 2: 446 / 2 = 223.

Find out more:

What is an even number?

Is 446 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 446 is about 21.119.

Thus, the square root of 446 is not an integer, and therefore 446 is not a square number.

What is the square number of 446?

The square of a number (here 446) is the result of the product of this number (446) by itself (i.e., 446 × 446); the square of 446 is sometimes called "raising 446 to the power 2", or "446 squared".

The square of 446 is 198 916 because 446 × 446 = 446² = 198 916.

As a consequence, 446 is the square root of 198 916.

Number of digits of 446

446 is a number with 3 digits.

What are the multiples of 446?

The multiples of 446 are all integers evenly divisible by 446, that is all numbers such that the remainder of the division by 446 is zero. There are infinitely many multiples of 446. The smallest multiples of 446 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 446 too, since 0 × 446 = 0
446: indeed, 446 is a multiple of itself, since 446 is evenly divisible by 446 (we have 446 / 446 = 1, so the remainder of this division is indeed zero)
892: indeed, 892 = 446 × 2
1 338: indeed, 1 338 = 446 × 3
1 784: indeed, 1 784 = 446 × 4
2 230: indeed, 2 230 = 446 × 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 446). 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 21.119). 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 446

Preceding numbers: …444, 445
Following numbers: 447, 448…

Nearest numbers from 446

Preceding prime number: 443
Following prime number: 449