711

711 is a natural number that follows 710 and precedes 712. As a three‑digit integer, it is an odd composite number. Its prime factorization is 3 × 237, where 237 itself factors into 3 × 79; thus the complete factorization is 3² × 79. 711 has 6 positive divisors: 1, 3, 9, 79, 237, and 711. The sum of its proper divisors is 1 + 3 + 9 + 79 + 237 = 329, which is less than 711, so it is classified as a deficient number. In base ten, the digits 7, 1, and 1 sum to 9, a multiple of 9, making 711 a Harshad number. The number is also self‑numerical in that its representation contains the count of each digit: one 7 and two 1s.

In popular culture, 711 most commonly refers to the convenience store chain 7‑Eleven, founded in 1927 in Dallas, Texas. The brand, known for its late‑night hours, has expanded globally with over 70,000 stores in 17 countries. The company’s name originated from its original 24‑hour, 7‑day operating schedule. The abbreviation 7‑Electronic Music Store was later adopted in the 1970s. Historical events in Europe in the year 711, such as the Battle of Tours and the beginning of the Umayyad conquest of Hispania, are sometimes collectively noted as 711 AD, though these events are unrelated to the integer itself.

The sequence 7‑1‑1 also appears in phonetic spellings of telephone area codes and emergency contact lines (for example, 911 in the United States or 112 in the European Union). Additionally, 711 is used as a designation for certain military units and aircraft models, like the Boeing 711 concept study. As a numeral, 711 carries both mathematical significance and wide recognition in commerce, history, and communications.