3164

3164 is a natural number that lies between 3163 and 3165. It is an even, composite number that appears in basic number-theory contexts and arithmetic computations.

Its prime factorization is 3164 = 2^2 × 7 × 113. The prime factors are 2, 7, and 113, with 7 and 113 being odd primes. Consequently, 3164 has 12 positive divisors: 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, and 3164. It can also be written as 3164 = 28 × 113 and 3164 = 4 × 791.

In terms of representations, 3164 in binary is 110001011100, and in hexadecimal it is C5C. The Roman numeral representation is MMMCXLIV. The sum of its decimal digits is 14. Euler’s totient function gives φ(3164) = 1344.

From a number-theory perspective, 3164 cannot be expressed as a sum of two squares because it has a prime factor 7 ≡ 3 (mod 4) with an odd exponent. The divisibility properties include 3164 being divisible by 4, 7, 113, and 28, reflecting its factorization. These characteristics illustrate how a single integer can be described by multiple equivalent representations and structural insights.