Is 46482001 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 482 001 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 46 482 001, the only two divisors are 1 and 46 482 001. Therefore 46 482 001 is a prime number.
As a consequence, 46 482 001 is only a multiple of 1 and 46 482 001.
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Since 46482001 is a prime number, 46482001 is also a deficient number, that is to say 46482001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46482001 without 46482001 itself (that is 1, by definition!).