Is 47637637 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 47 637 637 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 47 637 637, the only two divisors are 1 and 47 637 637. Therefore 47 637 637 is a prime number.
As a consequence, 47 637 637 is only a multiple of 1 and 47 637 637.
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Since 47637637 is a prime number, 47637637 is also a deficient number, that is to say 47637637 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 47637637 without 47637637 itself (that is 1, by definition!).