7983

7983 is a natural number that lies between 7982 and 7984. In mathematics, it is an odd composite number with a simple prime factorization: 3^2 × 887, where 887 is a prime. This factorization implies that 7983 has exactly six positive divisors: 1, 3, 9, 887, 2661, and 7983.

The number is divisible by 3 and by 9, as indicated by its digit sum being 7 + 9 + 8 + 3 = 27, which is a multiple of 9. Consequently, 7983 is congruent to 0 modulo 3 and to 3 modulo 4 (since 7983 divided by 4 leaves a remainder of 3). It is not a prime, nor a perfect square or cube, and its divisor count places it among the small set of integers with exactly six divisors.

In broader terms, 7983 is a member of the sequence of positive integers and exemplifies how factorization into prime components determines its divisors and basic modular properties. There are no widely recognized mathematical constants or named theorems specifically associated with the number 7983; its interest primarily arises from its factorization and its role in elementary divisibility examples.

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