Is 42195221 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 195 221 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 42 195 221, the only two divisors are 1 and 42 195 221. Therefore 42 195 221 is a prime number.
As a consequence, 42 195 221 is only a multiple of 1 and 42 195 221.
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Since 42195221 is a prime number, 42195221 is also a deficient number, that is to say 42195221 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42195221 without 42195221 itself (that is 1, by definition!).