218001

218001 is a natural number that follows 218000 and precedes 218002. In the decimal system, it is an odd composite integer without special widely recognized significance beyond standard arithmetic properties.

Its prime factorization is 218001 = 3 × 7^2 × 1483. This shows the number has 12 divisors. The presence of small primes 3 and 7, along with a larger prime factor 1483, confirms it is composite and not a prime power or a perfect square. The sum of its divisors is 338,352, which yields a sum of proper divisors equal to 120,351.

From a modular arithmetic viewpoint, 218001 is divisible by 3 and by 7, reflecting its factorization. It is not a perfect square or a cube, given its prime factors occur with exponents 1, 2, and 1.

In a broader context, 218001 is primarily relevant as a specific integer within number theory and cataloging systems that use sequential natural numbers. It does not correspond to a well-known constant, theorem, or widely studied sequence on its own, beyond its basic divisibility and factorization properties.