4956

4956 is a natural number that follows 4955 and precedes 4957. In everyday mathematics, it is treated as an even, composite integer with several notable arithmetic properties.

Its prime factorization is 2^2 × 3 × 7 × 59. From this factorization, 4956 has 24 positive divisors. The sum of all divisors is 13,440, which means the number is abundant: the sum of its proper divisors is 8,484, exceeding 4,956 by 3,528. This also implies that 4956 is not a perfect or deficient number.

In standard positional representations, 4956 in binary is 1001101011100_2, and in hexadecimal it is 0x135C. The digits of 4956 sum to 24, reflecting its divisibility by 3, and it is divisible by 59, with a cofactor of 84 (since 4956 = 59 × 84). It is divisible by small factors such as 2, 3, 4, 6, 7, 12, and 14, among others, due to its factorization.

There is no widely noted significance of 4956 as a year, constant, or code in common historical or scientific contexts. It is primarily recognized for its mathematical properties as an even, abundant composite number with a rich set of divisors and straightforward base representations.