Is 45421007 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 45 421 007 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 45 421 007, the only two divisors are 1 and 45 421 007. Therefore 45 421 007 is a prime number.
As a consequence, 45 421 007 is only a multiple of 1 and 45 421 007.
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Since 45421007 is a prime number, 45421007 is also a deficient number, that is to say 45421007 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 45421007 without 45421007 itself (that is 1, by definition!).