Is 31331243 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 331 243 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 31 331 243, the only two divisors are 1 and 31 331 243. Therefore 31 331 243 is a prime number.
As a consequence, 31 331 243 is only a multiple of 1 and 31 331 243.
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Since 31331243 is a prime number, 31331243 is also a deficient number, that is to say 31331243 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31331243 without 31331243 itself (that is 1, by definition!).