Is 47113697 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 47 113 697 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 47 113 697, the only two divisors are 1 and 47 113 697. Therefore 47 113 697 is a prime number.
As a consequence, 47 113 697 is only a multiple of 1 and 47 113 697.
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Since 47113697 is a prime number, 47113697 is also a deficient number, that is to say 47113697 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 47113697 without 47113697 itself (that is 1, by definition!).