Is 43133513 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 43 133 513 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 43 133 513, the only two divisors are 1 and 43 133 513. Therefore 43 133 513 is a prime number.
As a consequence, 43 133 513 is only a multiple of 1 and 43 133 513.
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Since 43133513 is a prime number, 43133513 is also a deficient number, that is to say 43133513 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 43133513 without 43133513 itself (that is 1, by definition!).