Is 37429933 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 429 933 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 37 429 933, the only two divisors are 1 and 37 429 933. Therefore 37 429 933 is a prime number.
As a consequence, 37 429 933 is only a multiple of 1 and 37 429 933.
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Since 37429933 is a prime number, 37429933 is also a deficient number, that is to say 37429933 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37429933 without 37429933 itself (that is 1, by definition!).