4115

4115 is a natural number that follows 4114 and precedes 4116. It is an odd composite number with prime factorization 5 × 823; since 823 is prime, 4115 is a semiprime.

In basic arithmetic, 4115 is not divisible by 3 (the sum of digits is 11) or by 9. It is congruent to 3 modulo 4 and to 2 modulo 3.

In common representations, 4115 appears as follows:

- Binary: 1000000010011

- Octal: 10023

- Hexadecimal: 0x1013

- Roman numerals: MMMMCXV (note that Roman notation for thousands is nonstandard for four thousand in many conventions)

Geometrically and numerically, 4115 lies between the squares 64^2 (4096) and 65^2 (4225).

In mathematical contexts, 4115 is of interest as a semiprime, being the product of two distinct primes. Its prime factorization also implies that its divisors are 1, 5, 823, and 4115.

In practical use, 4115 commonly appears as a designation or identifier in catalogs, part numbers, or model labels, rather than as a value with inherent universal significance. There is no widely recognized mathematical constant or cultural significance specifically associated with the number 4115.