Is 42493441 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 493 441 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 42 493 441, the only two divisors are 1 and 42 493 441. Therefore 42 493 441 is a prime number.
As a consequence, 42 493 441 is only a multiple of 1 and 42 493 441.
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Since 42493441 is a prime number, 42493441 is also a deficient number, that is to say 42493441 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42493441 without 42493441 itself (that is 1, by definition!).