Is 734 a prime number?

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

For 734, the answer is: No, 734 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 734) is as follows: 1, 2, 367, 734.

For 734 to be a prime number, it would have been required that 734 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

734 is a multiple of 1
734 is a multiple of 2
734 is a multiple of 367

For 734 to be a prime number, it would have been required that 734 has only two divisors, i.e., itself and 1.

However, 734 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 734 = 2 x 367, where 2 and 367 are both prime numbers.

Is 734 a deficient number?

Yes, 734 is a deficient number, that is to say 734 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 734 without 734 itself (that is 1 + 2 + 367 = 370).

Parity of 734

734 is an even number, because it is evenly divisible by 2: 734 / 2 = 367.

Find out more:

What is an even number?

Is 734 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 734 is about 27.092.

Thus, the square root of 734 is not an integer, and therefore 734 is not a square number.

What is the square number of 734?

The square of a number (here 734) is the result of the product of this number (734) by itself (i.e., 734 × 734); the square of 734 is sometimes called "raising 734 to the power 2", or "734 squared".

The square of 734 is 538 756 because 734 × 734 = 734² = 538 756.

As a consequence, 734 is the square root of 538 756.

Number of digits of 734

734 is a number with 3 digits.

What are the multiples of 734?

The multiples of 734 are all integers evenly divisible by 734, that is all numbers such that the remainder of the division by 734 is zero. There are infinitely many multiples of 734. The smallest multiples of 734 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 734 too, since 0 × 734 = 0
734: indeed, 734 is a multiple of itself, since 734 is evenly divisible by 734 (we have 734 / 734 = 1, so the remainder of this division is indeed zero)
1 468: indeed, 1 468 = 734 × 2
2 202: indeed, 2 202 = 734 × 3
2 936: indeed, 2 936 = 734 × 4
3 670: indeed, 3 670 = 734 × 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 734). 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 27.092). 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 734

Preceding numbers: …732, 733
Following numbers: 735, 736…

Nearest numbers from 734

Preceding prime number: 733
Following prime number: 739