Is 117165341 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 117 165 341 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 117 165 341, the only two divisors are 1 and 117 165 341. Therefore 117 165 341 is a prime number.
As a consequence, 117 165 341 is only a multiple of 1 and 117 165 341.
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Since 117165341 is a prime number, 117165341 is also a deficient number, that is to say 117165341 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 117165341 without 117165341 itself (that is 1, by definition!).