Is 40138837 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 138 837 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 40 138 837, the only two divisors are 1 and 40 138 837. Therefore 40 138 837 is a prime number.
As a consequence, 40 138 837 is only a multiple of 1 and 40 138 837.
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Since 40138837 is a prime number, 40138837 is also a deficient number, that is to say 40138837 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40138837 without 40138837 itself (that is 1, by definition!).