6993

6993 is a natural number that follows 6992 and precedes 6994. It is an odd composite number with prime factorization 3^3 × 7 × 37 (equivalently 6993 = 27 × 259). This makes the number divisible by 3, 9, 27, 7, and 37.

In base 10, 6993 has a digit sum of 6 + 9 + 9 + 3 = 27, which makes it a Harshad (or Niven) number: 6993 ÷ 27 = 259. In other bases, it can be represented as 1101101010001 in binary and 1B51 in hexadecimal.

From a number-theoretic perspective, 6993 is not prime, nor a perfect square or cube, and it is not a triangular number (for example, 117 × 118 ÷ 2 = 6903 and 118 × 119 ÷ 2 = 7021, so 6993 lies between these two triangular numbers). Because its prime factors include primes congruent to 3 modulo 4 (specifically 3 and 7) with odd exponents, 6993 cannot be expressed as a sum of two squares.

As a four-digit decimal, 6993 appears occasionally in arithmetic examples and teaching materials. It does not correspond to a widely recognized mathematical constant or named object but serves as a representative composite with varied factorization properties. Its divisors number 16, and the sum of its divisors totals 12,160.