2×231

2×231 denotes the product of the integers 2 and 231. The result is 462. The expression can be read as doubling 231, or as the arithmetic product of two factors.

In prime terms, 231 factors as 3 × 7 × 11. Therefore 2×231 = 2 × 3 × 7 × 11 = 462. The prime factorization of 462 is 2 × 3 × 7 × 11. This implies that 462 has 16 positive divisors, namely: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, and 462. The number is even and divisible by several small primes, including 2, 3, 7, and 11, as well as by their various products.

231 itself is a triangular number, equal to 22 choose 2 (C(22,2) = 231). Consequently, 2×231 can be expressed as 21×22, the product of two consecutive integers around 21. This highlights a relationship between doubling a triangular number and a product of consecutive integers.

In summary, 2×231 equals 462, with prime factorization 2 × 3 × 7 × 11, a divisor structure of 16, and several notable mathematical relations such as its ties to triangular numbers and products of consecutive integers.