Is 37018133 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 018 133 is a prime number.
Indeed, the definition of a prime numbers is to have exactly 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 37 018 133, the only two divisors are 1 and 37 018 133. Therefore 37 018 133 is a prime number.
As a consequence, 37 018 133 is only a multiple of 1 and 37 018 133.
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Since 37018133 is a prime number, 37018133 is also a deficient number, that is to say 37018133 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37018133 without 37018133 itself (that is 1, by definition!).