6×81

6×81 equals 486. It is the result of multiplying the integers 6 and 81, and is commonly encountered in arithmetic and algebra as a simple product.

81 equals 3^4, and 6 equals 2×3, so 6×81 = 2×3^5 = 486. In prime factorization form, 486 = 2 × 3^5. This makes 486 divisible by many powers of 3 (3, 9, 27, 81) and by 2 as well.

The positive divisors of 486 are: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, and 486. The sum of its proper divisors is 606, which classifies 486 as an abundant number. It is also a Harshad (or Niven) number in base 10 because the sum of its digits is 18, and 486 is divisible by 18.

In other bases, 486 has different representations: in base 9 it is 600_9, since 6×81 is 6×9^2; in base 3 it is 200000_3; and in base 6 it is 2130_6.

As a product of a small even factor and a high power of 3, 6×81 serves as a straightforward example of factorization patterns and multiplication by powers of a base in number theory and educational contexts.