Is 31046429 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 046 429 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 31 046 429, the only two divisors are 1 and 31 046 429. Therefore 31 046 429 is a prime number.
As a consequence, 31 046 429 is only a multiple of 1 and 31 046 429.
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Since 31046429 is a prime number, 31046429 is also a deficient number, that is to say 31046429 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31046429 without 31046429 itself (that is 1, by definition!).