Is 46737137 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 737 137 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 46 737 137, the only two divisors are 1 and 46 737 137. Therefore 46 737 137 is a prime number.
As a consequence, 46 737 137 is only a multiple of 1 and 46 737 137.
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Since 46737137 is a prime number, 46737137 is also a deficient number, that is to say 46737137 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46737137 without 46737137 itself (that is 1, by definition!).