Is 477 a prime number?

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

For 477, the answer is: No, 477 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 477) is as follows: 1, 3, 9, 53, 159, 477.

For 477 to be a prime number, it would have been required that 477 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

477 is a multiple of 1
477 is a multiple of 3
477 is a multiple of 9
477 is a multiple of 53
477 is a multiple of 159

For 477 to be a prime number, it would have been required that 477 has only two divisors, i.e., itself and 1.

Is 477 a deficient number?

Yes, 477 is a deficient number, that is to say 477 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 477 without 477 itself (that is 1 + 3 + 9 + 53 + 159 = 225).

Parity of 477

477 is an odd number, because it is not evenly divisible by 2.

Find out more:

What is an even number?

Is 477 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 477 is about 21.840.

Thus, the square root of 477 is not an integer, and therefore 477 is not a square number.

What is the square number of 477?

The square of a number (here 477) is the result of the product of this number (477) by itself (i.e., 477 × 477); the square of 477 is sometimes called "raising 477 to the power 2", or "477 squared".

The square of 477 is 227 529 because 477 × 477 = 477² = 227 529.

As a consequence, 477 is the square root of 227 529.

Number of digits of 477

477 is a number with 3 digits.

What are the multiples of 477?

The multiples of 477 are all integers evenly divisible by 477, that is all numbers such that the remainder of the division by 477 is zero. There are infinitely many multiples of 477. The smallest multiples of 477 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 477 too, since 0 × 477 = 0
477: indeed, 477 is a multiple of itself, since 477 is evenly divisible by 477 (we have 477 / 477 = 1, so the remainder of this division is indeed zero)
954: indeed, 954 = 477 × 2
1 431: indeed, 1 431 = 477 × 3
1 908: indeed, 1 908 = 477 × 4
2 385: indeed, 2 385 = 477 × 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 477). 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 21.840). 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 477

Preceding numbers: …475, 476
Following numbers: 478, 479…

Nearest numbers from 477

Preceding prime number: 467
Following prime number: 479