Is 37442191 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 442 191 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 37 442 191, the only two divisors are 1 and 37 442 191. Therefore 37 442 191 is a prime number.
As a consequence, 37 442 191 is only a multiple of 1 and 37 442 191.
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Since 37442191 is a prime number, 37442191 is also a deficient number, that is to say 37442191 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37442191 without 37442191 itself (that is 1, by definition!).