Is 40308263 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 308 263 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 40 308 263, the only two divisors are 1 and 40 308 263. Therefore 40 308 263 is a prime number.
As a consequence, 40 308 263 is only a multiple of 1 and 40 308 263.
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Since 40308263 is a prime number, 40308263 is also a deficient number, that is to say 40308263 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40308263 without 40308263 itself (that is 1, by definition!).