Is 42224033 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 224 033 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 42 224 033, the only two divisors are 1 and 42 224 033. Therefore 42 224 033 is a prime number.
As a consequence, 42 224 033 is only a multiple of 1 and 42 224 033.
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Since 42224033 is a prime number, 42224033 is also a deficient number, that is to say 42224033 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42224033 without 42224033 itself (that is 1, by definition!).