Is 448120433 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 448 120 433 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 448 120 433, the only two divisors are 1 and 448 120 433. Therefore 448 120 433 is a prime number.
As a consequence, 448 120 433 is only a multiple of 1 and 448 120 433.
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Since 448120433 is a prime number, 448120433 is also a deficient number, that is to say 448120433 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 448120433 without 448120433 itself (that is 1, by definition!).