Is 40426931 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 426 931 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 40 426 931, the only two divisors are 1 and 40 426 931. Therefore 40 426 931 is a prime number.
As a consequence, 40 426 931 is only a multiple of 1 and 40 426 931.
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Since 40426931 is a prime number, 40426931 is also a deficient number, that is to say 40426931 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40426931 without 40426931 itself (that is 1, by definition!).