Is 43201309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 43 201 309 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 43 201 309, the only two divisors are 1 and 43 201 309. Therefore 43 201 309 is a prime number.
As a consequence, 43 201 309 is only a multiple of 1 and 43 201 309.
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Since 43201309 is a prime number, 43201309 is also a deficient number, that is to say 43201309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 43201309 without 43201309 itself (that is 1, by definition!).