Is 42652933 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 652 933 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 42 652 933, the only two divisors are 1 and 42 652 933. Therefore 42 652 933 is a prime number.
As a consequence, 42 652 933 is only a multiple of 1 and 42 652 933.
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Since 42652933 is a prime number, 42652933 is also a deficient number, that is to say 42652933 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42652933 without 42652933 itself (that is 1, by definition!).