4992

4992 is a natural number that lies between 4991 and 4993. It is an even composite integer and appears in various mathematical contexts as an example of a number with multiple small prime factors.

Its prime factorization is 2^7 * 3 * 13, which implies divisibility by 2, 3, 4, 6, 8, 12, 16, 24, 32, 39, 48, 64, and 78 (and many other divisors). It is not divisible by 5, 7, or 11. In binary, 4992 is 1001110000000_2, and in hexadecimal it is 0x1380. The sum of its decimal digits is 24, so 4992 is a Harshad (or Niven) number in base 10, since 4992 / 24 = 208.

Because 4992 equals 128 * 39, it is divisible by 128 and hence by 64, 32, and other powers of two up to 128. This makes it a convenient example when illustrating factorization, divisors, and different numeral representations.

In broader usage, 4992 is a four-digit natural number that may appear as an identifier or catalog number in various domains. While it has no special universal significance beyond its arithmetic properties, its factorization and representations (binary, hex, and digit-sum property) are typical features highlighted in introductory number theory and arithmetic discussions.