Is 37684831 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 684 831 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 37 684 831, the only two divisors are 1 and 37 684 831. Therefore 37 684 831 is a prime number.
As a consequence, 37 684 831 is only a multiple of 1 and 37 684 831.
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Since 37684831 is a prime number, 37684831 is also a deficient number, that is to say 37684831 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37684831 without 37684831 itself (that is 1, by definition!).