Is 37107827 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 107 827 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 37 107 827, the only two divisors are 1 and 37 107 827. Therefore 37 107 827 is a prime number.
As a consequence, 37 107 827 is only a multiple of 1 and 37 107 827.
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Since 37107827 is a prime number, 37107827 is also a deficient number, that is to say 37107827 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37107827 without 37107827 itself (that is 1, by definition!).