Is 3701 a prime number? What are the divisors of 3701?

Is 3701 a prime number?

Yes, 3701 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 3701, the only two divisors are 1 and 3701. Therefore 3701 is a prime number.

As a consequence, 3701 is only a multiple of 1 and 3701.

Since 3701 is a prime number, 3701 is also a deficient number, that is to say 3701 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3701 without 3701 itself (that is 1, by definition!).

Parity of 3701

3701 is an odd number, because it is not evenly divisible by 2.

Is 3701 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 3701 is about 60.836.

Thus, the square root of 3701 is not an integer, and therefore 3701 is not a square number.

Anyway, 3701 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 3701?

The square of a number (here 3701) is the result of the product of this number (3701) by itself (i.e., 3701 × 3701); the square of 3701 is sometimes called "raising 3701 to the power 2", or "3701 squared".

The square of 3701 is 13 697 401 because 3701 × 3701 = 37012 = 13 697 401.

As a consequence, 3701 is the square root of 13 697 401.

Number of digits of 3701

3701 is a number with 4 digits.

What are the multiples of 3701?

The multiples of 3701 are all integers evenly divisible by 3701, that is all numbers such that the remainder of the division by 3701 is zero. There are infinitely many multiples of 3701. The smallest multiples of 3701 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3701 too, since 0 × 3701 = 0
  • 3701: indeed, 3701 is a multiple of itself, since 3701 is evenly divisible by 3701 (we have 3701 / 3701 = 1, so the remainder of this division is indeed zero)
  • 7 402: indeed, 7 402 = 3701 × 2
  • 11 103: indeed, 11 103 = 3701 × 3
  • 14 804: indeed, 14 804 = 3701 × 4
  • 18 505: indeed, 18 505 = 3701 × 5
  • etc.

Numbers near 3701

Nearest numbers from 3701

Find out whether some integer is a prime number