4445

4445 is a natural number that sits between 4444 and 4446. In number theory, its prime factorization is 5 × 7 × 127, with 127 being a Mersenne prime (2^7 − 1). The positive divisors of 4445 are 1, 5, 7, 35, 127, 635, 889, and 4445. The sum of its proper divisors is 1699, which is less than 4445, so 4445 is a deficient number. It is odd and divisible by 5, 7, and 35, among others. In various base systems, 4445 equals 0x115D in hexadecimal, 0o10535 in octal, and 1000101011101 in binary. The decimal digit sum is 17.

Mathematically, 4445 can be expressed as 35 × 127 or 5 × 889, illustrating its composite structure as a product of three distinct primes. Its representations across bases reflect standard conversions for a mid-size decimal integer.

Beyond pure mathematics, 4445 is used as an identifier in a range of catalogs and systems, including model numbers, part numbers, and archival designations. Like many four-digit numbers, it may also appear as a calendar-era reference for a year designation far in the future in theoretical or fictional contexts. There is no single universally recognized meaning attached to 4445 outside its numerical properties, so the interpretation of any specific occurrence depends on the relevant contextual framework.