Is 42661331 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 661 331 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 42 661 331, the only two divisors are 1 and 42 661 331. Therefore 42 661 331 is a prime number.
As a consequence, 42 661 331 is only a multiple of 1 and 42 661 331.
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Since 42661331 is a prime number, 42661331 is also a deficient number, that is to say 42661331 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42661331 without 42661331 itself (that is 1, by definition!).