Is 38736749 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 38 736 749 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 38 736 749, the only two divisors are 1 and 38 736 749. Therefore 38 736 749 is a prime number.
As a consequence, 38 736 749 is only a multiple of 1 and 38 736 749.
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Since 38736749 is a prime number, 38736749 is also a deficient number, that is to say 38736749 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 38736749 without 38736749 itself (that is 1, by definition!).