Is 46488241 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 488 241 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 46 488 241, the only two divisors are 1 and 46 488 241. Therefore 46 488 241 is a prime number.
As a consequence, 46 488 241 is only a multiple of 1 and 46 488 241.
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Since 46488241 is a prime number, 46488241 is also a deficient number, that is to say 46488241 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46488241 without 46488241 itself (that is 1, by definition!).