7860

7860 is a natural number that lies between 7859 and 7861. It is an even, composite number with several straightforward arithmetical properties.

Prime factorization and divisors: 7860 factors as 2^2 × 3 × 5 × 131, which can also be written as 60 × 131. This yields 24 positive divisors in total. The prime decomposition shows it is divisible by many small integers (for example, by 2, 3, 5 and thus by 30).

Sum and totient functions: The sum of all positive divisors of 7860 is 22176, so the sum of its proper divisors is 14316. Since this exceeds 7860, the number is classified as abundant. Euler’s totient function gives φ(7860) = 2080, meaning there are 2080 integers up to 7860 that are relatively prime to 7860.

Representations and basic attributes: In binary, 7860 is 1111010110100_2, and in hexadecimal it is 0x1EB4. The digit sum is 21, so the number is divisible by 3; since it ends in 0, it is divisible by 10 as well, and by 30 (the product of 2, 3, and 5).

Decomposition and relations: 7860 = 131 × 60, highlighting its factorization into a large prime times a small composite. The presence of the prime 131 in its factorization characterizes its arithmetic structure within the range of four distinct prime factors (counting multiplicity).