Is 616 a prime number?

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

For 616, the answer is: No, 616 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 616) is as follows: 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616.

For 616 to be a prime number, it would have been required that 616 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

616 is a multiple of 1
616 is a multiple of 2
616 is a multiple of 4
616 is a multiple of 7
616 is a multiple of 8
616 is a multiple of 11
616 is a multiple of 14
616 is a multiple of 22
616 is a multiple of 28
616 is a multiple of 44
616 is a multiple of 56
616 is a multiple of 77
616 is a multiple of 88
616 is a multiple of 154
616 is a multiple of 308

For 616 to be a prime number, it would have been required that 616 has only two divisors, i.e., itself and 1.

Is 616 a deficient number?

No, 616 is not a deficient number: to be deficient, 616 should have been such that 616 is larger than the sum of its proper divisors, i.e., the divisors of 616 without 616 itself (that is 1 + 2 + 4 + 7 + 8 + 11 + 14 + 22 + 28 + 44 + 56 + 77 + 88 + 154 + 308 = 824).

In fact, 616 is an abundant number; 616 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 7 + 8 + 11 + 14 + 22 + 28 + 44 + 56 + 77 + 88 + 154 + 308 = 824). The smallest abundant number is 12.

Parity of 616

616 is an even number, because it is evenly divisible by 2: 616 / 2 = 308.

Find out more:

What is an even number?

Is 616 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 616 is about 24.819.

Thus, the square root of 616 is not an integer, and therefore 616 is not a square number.

What is the square number of 616?

The square of a number (here 616) is the result of the product of this number (616) by itself (i.e., 616 × 616); the square of 616 is sometimes called "raising 616 to the power 2", or "616 squared".

The square of 616 is 379 456 because 616 × 616 = 616² = 379 456.

As a consequence, 616 is the square root of 379 456.

Number of digits of 616

616 is a number with 3 digits.

What are the multiples of 616?

The multiples of 616 are all integers evenly divisible by 616, that is all numbers such that the remainder of the division by 616 is zero. There are infinitely many multiples of 616. The smallest multiples of 616 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 616 too, since 0 × 616 = 0
616: indeed, 616 is a multiple of itself, since 616 is evenly divisible by 616 (we have 616 / 616 = 1, so the remainder of this division is indeed zero)
1 232: indeed, 1 232 = 616 × 2
1 848: indeed, 1 848 = 616 × 3
2 464: indeed, 2 464 = 616 × 4
3 080: indeed, 3 080 = 616 × 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 616). 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 24.819). 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 616

Preceding numbers: …614, 615
Following numbers: 617, 618…

Nearest numbers from 616

Preceding prime number: 613
Following prime number: 617