12963

12963 is a natural number that follows 12962 and precedes 12964. It is an odd composite number with a prime factorization of 3 × 29 × 149, making it square-free. Its divisors are 1, 3, 29, 87, 149, 447, 4321, and 12963, giving it eight divisors in total.

The sum of its digits is 21, which shows that 12963 is divisible by 3 but not by 9. As a product of three distinct primes, it has several arithmetic implications, including an Euler totient value of φ(12963) = 8288. For modular arithmetic, 12963 is congruent to 3 modulo 4.

In base representations, 12963 is written as 11001010100011 in binary. It can be expressed in other bases as well, though binary and decimal forms are the most commonly used for such numbers.

As a member of the natural numbers, 12963 serves as an example of a square-free, three-prime product and is used in discussions of divisors, totients, and modular arithmetic. It does not have widely recognized cultural or historical associations, and there are no prominent constants or sequences specifically tied to this number.