6966

6966 is a natural number that follows 6965 and precedes 6967. It is an even, composite integer with several notable arithmetic properties.

Prime factorization and divisors: 6966 factors as 2 × 3^4 × 43. This yields 20 positive divisors in total. The divisors are: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 43, 86, 129, 258, 387, 774, 1161, 2322, 3483, 6966.

Mathematical properties: 6966 is an abundant number, since the sum of its positive divisors is 15972, which exceeds 6966, and the sum of its proper divisors is 9006. It is also a Harshad (Niven) number in base 10 because it is divisible by the sum of its digits; 6 + 9 + 6 + 6 = 27, and 6966 ÷ 27 = 258. In hexadecimal notation, 6966 equals 1B36.

Summary: As a four-digit, even integer, 6966 has a prime factorization of 2 × 3^4 × 43, twenty divisors, and satisfies several standard number-theory properties such as being abundant and Harshad in base 10.