Is 421125337 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 421 125 337 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 421 125 337, the only two divisors are 1 and 421 125 337. Therefore 421 125 337 is a prime number.
As a consequence, 421 125 337 is only a multiple of 1 and 421 125 337.
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Since 421125337 is a prime number, 421125337 is also a deficient number, that is to say 421125337 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 421125337 without 421125337 itself (that is 1, by definition!).