Is 413229407 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 413 229 407 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 413 229 407, the only two divisors are 1 and 413 229 407. Therefore 413 229 407 is a prime number.
As a consequence, 413 229 407 is only a multiple of 1 and 413 229 407.
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Since 413229407 is a prime number, 413229407 is also a deficient number, that is to say 413229407 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 413229407 without 413229407 itself (that is 1, by definition!).