Is 346 a prime number?

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

For 346, the answer is: No, 346 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 346) is as follows: 1, 2, 173, 346.

For 346 to be a prime number, it would have been required that 346 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

346 is a multiple of 1
346 is a multiple of 2
346 is a multiple of 173

For 346 to be a prime number, it would have been required that 346 has only two divisors, i.e., itself and 1.

However, 346 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 346 = 2 x 173, where 2 and 173 are both prime numbers.

Is 346 a deficient number?

Yes, 346 is a deficient number, that is to say 346 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 346 without 346 itself (that is 1 + 2 + 173 = 176).

Parity of 346

346 is an even number, because it is evenly divisible by 2: 346 / 2 = 173.

Find out more:

What is an even number?

Is 346 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 346 is about 18.601.

Thus, the square root of 346 is not an integer, and therefore 346 is not a square number.

What is the square number of 346?

The square of a number (here 346) is the result of the product of this number (346) by itself (i.e., 346 × 346); the square of 346 is sometimes called "raising 346 to the power 2", or "346 squared".

The square of 346 is 119 716 because 346 × 346 = 346² = 119 716.

As a consequence, 346 is the square root of 119 716.

Number of digits of 346

346 is a number with 3 digits.

What are the multiples of 346?

The multiples of 346 are all integers evenly divisible by 346, that is all numbers such that the remainder of the division by 346 is zero. There are infinitely many multiples of 346. The smallest multiples of 346 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 346 too, since 0 × 346 = 0
346: indeed, 346 is a multiple of itself, since 346 is evenly divisible by 346 (we have 346 / 346 = 1, so the remainder of this division is indeed zero)
692: indeed, 692 = 346 × 2
1 038: indeed, 1 038 = 346 × 3
1 384: indeed, 1 384 = 346 × 4
1 730: indeed, 1 730 = 346 × 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 346). 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 18.601). 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 346

Preceding numbers: …344, 345
Following numbers: 347, 348…

Nearest numbers from 346

Preceding prime number: 337
Following prime number: 347