Is 837731677 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 837 731 677 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 837 731 677, the only two divisors are 1 and 837 731 677. Therefore 837 731 677 is a prime number.
As a consequence, 837 731 677 is only a multiple of 1 and 837 731 677.
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Since 837731677 is a prime number, 837731677 is also a deficient number, that is to say 837731677 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 837731677 without 837731677 itself (that is 1, by definition!).