Is 33748037 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 33 748 037 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 33 748 037, the only two divisors are 1 and 33 748 037. Therefore 33 748 037 is a prime number.
As a consequence, 33 748 037 is only a multiple of 1 and 33 748 037.
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Since 33748037 is a prime number, 33748037 is also a deficient number, that is to say 33748037 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33748037 without 33748037 itself (that is 1, by definition!).