Is 46426141 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 426 141 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 46 426 141, the only two divisors are 1 and 46 426 141. Therefore 46 426 141 is a prime number.
As a consequence, 46 426 141 is only a multiple of 1 and 46 426 141.
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Since 46426141 is a prime number, 46426141 is also a deficient number, that is to say 46426141 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46426141 without 46426141 itself (that is 1, by definition!).