Is 37933321 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 933 321 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 37 933 321, the only two divisors are 1 and 37 933 321. Therefore 37 933 321 is a prime number.
As a consequence, 37 933 321 is only a multiple of 1 and 37 933 321.
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Since 37933321 is a prime number, 37933321 is also a deficient number, that is to say 37933321 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37933321 without 37933321 itself (that is 1, by definition!).