3984

3984 is a natural number that follows 3983 and precedes 3985. It is an even composite integer with multiple mathematical properties of interest.

Its prime factorization is 2^4 × 3 × 83. This makes 3984 divisible by 2, 3, 4, 6, 8, 12, 16, 24 and other combinations arising from multiplying these factors, including 83, 166, 332, 664, 1328, 249, 498, 996, 1992, and 3984.

In various numeral systems, 3984 is represented as follows: in binary it is 111110010000, in octal it is 7620, and in hexadecimal it is 0xF90. In Roman numerals, 3984 is written as MMMCMLXXXIV.

Decimal properties include a digit sum of 24, which makes 3984 a Harshad (or Niven) number in base 10, since 3984 divided by 24 equals 166. The digital root of 3984 is 6.

As a four-digit integer, 3984 does not have a widely cited special significance beyond its factorization, representations, and basic divisibility properties. It serves as an example of an even, composite number with a straightforward prime decomposition and multiple standard numeral-system representations.