Is 42029293 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 029 293 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 42 029 293, the only two divisors are 1 and 42 029 293. Therefore 42 029 293 is a prime number.
As a consequence, 42 029 293 is only a multiple of 1 and 42 029 293.
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Since 42029293 is a prime number, 42029293 is also a deficient number, that is to say 42029293 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42029293 without 42029293 itself (that is 1, by definition!).