Is 13457629 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 13 457 629 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 13 457 629, the only two divisors are 1 and 13 457 629. Therefore 13 457 629 is a prime number.
As a consequence, 13 457 629 is only a multiple of 1 and 13 457 629.
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Since 13457629 is a prime number, 13457629 is also a deficient number, that is to say 13457629 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 13457629 without 13457629 itself (that is 1, by definition!).