Is 42536071 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 536 071 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 42 536 071, the only two divisors are 1 and 42 536 071. Therefore 42 536 071 is a prime number.
As a consequence, 42 536 071 is only a multiple of 1 and 42 536 071.
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Since 42536071 is a prime number, 42536071 is also a deficient number, that is to say 42536071 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42536071 without 42536071 itself (that is 1, by definition!).