298272

298,272 is a positive integer that lies between 298,271 and 298,273. It is even and composite, with a prime factorization of 2^5 × 3 × 13 × 239. This factorization implies the number has 48 positive divisors, since the count of divisors for a product of prime powers is the product of one more than each exponent (6 × 2 × 2 × 2 = 48).

In terms of divisibility, 298,272 is divisible by 2, 4, 8, 16, and 32, but not by 64. It is also divisible by 3, as indicated by the sum of its digits (2 + 9 + 8 + 2 + 7 + 2 = 30). Consequently, it is divisible by any product of the available prime factors up to their respective exponents, such as 2^a · 3 · 13 · 239 for a ≤ 5, with combinations limited by the exponents. The last three digits (272) show divisibility by 8, consistent with the overall factorization.

There is no widely recognized special significance attached to 298,272 beyond its numerical properties. It serves as an example of a moderately large composite number with a straightforward prime decomposition and a relatively high divisor count for its size.