Is 434 a prime number?

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

For 434, the answer is: No, 434 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 434) is as follows: 1, 2, 7, 14, 31, 62, 217, 434.

For 434 to be a prime number, it would have been required that 434 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

434 is a multiple of 1
434 is a multiple of 2
434 is a multiple of 7
434 is a multiple of 14
434 is a multiple of 31
434 is a multiple of 62
434 is a multiple of 217

For 434 to be a prime number, it would have been required that 434 has only two divisors, i.e., itself and 1.

Is 434 a deficient number?

Yes, 434 is a deficient number, that is to say 434 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 434 without 434 itself (that is 1 + 2 + 7 + 14 + 31 + 62 + 217 = 334).

Parity of 434

434 is an even number, because it is evenly divisible by 2: 434 / 2 = 217.

Find out more:

What is an even number?

Is 434 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 434 is about 20.833.

Thus, the square root of 434 is not an integer, and therefore 434 is not a square number.

What is the square number of 434?

The square of a number (here 434) is the result of the product of this number (434) by itself (i.e., 434 × 434); the square of 434 is sometimes called "raising 434 to the power 2", or "434 squared".

The square of 434 is 188 356 because 434 × 434 = 434² = 188 356.

As a consequence, 434 is the square root of 188 356.

Number of digits of 434

434 is a number with 3 digits.

What are the multiples of 434?

The multiples of 434 are all integers evenly divisible by 434, that is all numbers such that the remainder of the division by 434 is zero. There are infinitely many multiples of 434. The smallest multiples of 434 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 434 too, since 0 × 434 = 0
434: indeed, 434 is a multiple of itself, since 434 is evenly divisible by 434 (we have 434 / 434 = 1, so the remainder of this division is indeed zero)
868: indeed, 868 = 434 × 2
1 302: indeed, 1 302 = 434 × 3
1 736: indeed, 1 736 = 434 × 4
2 170: indeed, 2 170 = 434 × 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 434). 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 20.833). 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 434

Preceding numbers: …432, 433
Following numbers: 435, 436…

Nearest numbers from 434

Preceding prime number: 433
Following prime number: 439