Is 534 a prime number?

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

For 534, the answer is: No, 534 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 534) is as follows: 1, 2, 3, 6, 89, 178, 267, 534.

For 534 to be a prime number, it would have been required that 534 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

534 is a multiple of 1
534 is a multiple of 2
534 is a multiple of 3
534 is a multiple of 6
534 is a multiple of 89
534 is a multiple of 178
534 is a multiple of 267

For 534 to be a prime number, it would have been required that 534 has only two divisors, i.e., itself and 1.

Is 534 a deficient number?

No, 534 is not a deficient number: to be deficient, 534 should have been such that 534 is larger than the sum of its proper divisors, i.e., the divisors of 534 without 534 itself (that is 1 + 2 + 3 + 6 + 89 + 178 + 267 = 546).

In fact, 534 is an abundant number; 534 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 89 + 178 + 267 = 546). The smallest abundant number is 12.

Parity of 534

534 is an even number, because it is evenly divisible by 2: 534 / 2 = 267.

Find out more:

What is an even number?

Is 534 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 534 is about 23.108.

Thus, the square root of 534 is not an integer, and therefore 534 is not a square number.

What is the square number of 534?

The square of a number (here 534) is the result of the product of this number (534) by itself (i.e., 534 × 534); the square of 534 is sometimes called "raising 534 to the power 2", or "534 squared".

The square of 534 is 285 156 because 534 × 534 = 534² = 285 156.

As a consequence, 534 is the square root of 285 156.

Number of digits of 534

534 is a number with 3 digits.

What are the multiples of 534?

The multiples of 534 are all integers evenly divisible by 534, that is all numbers such that the remainder of the division by 534 is zero. There are infinitely many multiples of 534. The smallest multiples of 534 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 534 too, since 0 × 534 = 0
534: indeed, 534 is a multiple of itself, since 534 is evenly divisible by 534 (we have 534 / 534 = 1, so the remainder of this division is indeed zero)
1 068: indeed, 1 068 = 534 × 2
1 602: indeed, 1 602 = 534 × 3
2 136: indeed, 2 136 = 534 × 4
2 670: indeed, 2 670 = 534 × 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 534). 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 23.108). 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 534

Preceding numbers: …532, 533
Following numbers: 535, 536…

Nearest numbers from 534

Preceding prime number: 523
Following prime number: 541