3159

3159 is a positive integer that sits between 3158 and 3160. It is an odd, composite number with a prime factorization of 3^5 × 13.

As a result, 3159 has 12 positive divisors: 1, 3, 9, 27, 81, 243, 13, 39, 117, 351, 1053, and 3159. The sum of all divisors is 5096, and the sum of proper divisors (excluding 3159 itself) is 1937. Since the proper-divisor sum is less than the number, 3159 is a deficient number.

In various numeral systems, 3159 is represented as 110001010111 in binary, 0xC57 in hexadecimal, and MMMCLIX in Roman numerals. Its digits sum to 18, reflecting its divisibility by 9 (and hence by 3 as well). The complete factorization 3^5 × 13 confirms that it is not a prime, nor a perfect power, and it is not a perfect square or cube.

Additional context about 3159 commonly considered in number theory includes its status as a divisible, yet non-prime, deficient integer with a modest set of divisors. There are no widely noted mathematical constants or theorems uniquely associated with the number 3159 beyond its basic arithmetic and representation properties.