8346

8346 is a positive integer that follows 8345 and precedes 8347. It is an even composite number with prime factorization 8346 = 2 × 3 × 13 × 107. Because all prime factors are distinct, 8346 is squarefree and has 16 positive divisors. Its sum of divisors σ(8346) equals 18,144, and the sum of proper divisors is 9,798, which makes 8346 an abundant number (proper divisors sum greater than the number). The Möbius function μ(8346) equals +1, and Euler’s totient function φ(8346) equals 2,544.

In base representations, 8346 is written as 10000010011010 in binary, 0x209A in hexadecimal, and 020232 in octal. The digit sum of 8346 is 21, so it is divisible by 3. As a product of four distinct primes, it is not sphenic (which requires exactly three distinct prime factors).

Standard arithmetic functions associated with 8346 include its divisor count τ(8346) = 16, abundance 1,452 (the difference between the sum of proper divisors and the number), and its status as a member of sequences of squarefree abundant integers. Apart from these number-theoretic properties, 8346 does not have widely recognized special significance in common mathematical constants or historical numbering systems.