Overview
995 is a natural number that follows 994 and precedes 996. It is an odd, composite integer notable for being just below 1000. In Roman numerals it is written as CMXCV. As a decimal integer it ends with the digit 5, which immediately implies divisibility by 5.
Mathematical properties
Arithmetic factorization of 995 is 5 × 199, where 199 is prime; therefore 995 is a semiprime (a product of two primes). Its positive divisors are 1, 5, 199 and 995. The sum of all divisors equals 1,200, while the sum of proper divisors (the aliquot sum) is 205; because 205 < 995, the number is classified as deficient.
- Prime factorization: 5 × 199
- Divisors: 1, 5, 199, 995
- Aliquot sum: 205 (deficient)
- Euler totient φ(995): (5−1)(199−1) = 792
Representations
995 can be expressed in several positional systems and formats that are sometimes useful in computer science and number theory. Notably its hexadecimal form is palindromic.
- Decimal: 995
- Binary: 1111100011
- Hexadecimal: 3E3 (palindromic)
- Octal: 1743
- Digital sum (decimal): 9+9+5 = 23
Uses and cultural references
Numbers close to round figures like 995 often appear in model names, product codes and catalogues. A widely recognized public reference is the international telephone country calling code "+995", which designates Georgia (the country in the South Caucasus). The label "995" can also refer to the calendar year 995 (late 10th century), a time within the early Middle Ages in European and global history.
Notable facts and distinctions
Because it is a semiprime and ends in 5, 995 exhibits simple divisibility traits and a compact prime factorization. Its palindromic hexadecimal notation (3E3) is a small curiosity appreciated in recreational number study. As a deficient number, 995 is not perfect or abundant, and its multiplicative structure (5 × a larger prime) places it among the simpler composite integers encountered in elementary number theory.