Is 48121973 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 121 973 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 48 121 973, the only two divisors are 1 and 48 121 973. Therefore 48 121 973 is a prime number.
As a consequence, 48 121 973 is only a multiple of 1 and 48 121 973.
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Since 48121973 is a prime number, 48121973 is also a deficient number, that is to say 48121973 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48121973 without 48121973 itself (that is 1, by definition!).