Is 42098131 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 098 131 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 42 098 131, the only two divisors are 1 and 42 098 131. Therefore 42 098 131 is a prime number.
As a consequence, 42 098 131 is only a multiple of 1 and 42 098 131.
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Since 42098131 is a prime number, 42098131 is also a deficient number, that is to say 42098131 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42098131 without 42098131 itself (that is 1, by definition!).