Is 46120309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 120 309 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 46 120 309, the only two divisors are 1 and 46 120 309. Therefore 46 120 309 is a prime number.
As a consequence, 46 120 309 is only a multiple of 1 and 46 120 309.
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Since 46120309 is a prime number, 46120309 is also a deficient number, that is to say 46120309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46120309 without 46120309 itself (that is 1, by definition!).