1070 is a four-digit positive integer that serves both as a mathematical object and as a common numeric identifier. As a number it has simple factorization and elementary arithmetic properties. As a label it appears in historical year designations (AD 1070 and 1070 BC) and in product names and route numbers.

Mathematical properties

In arithmetic terms, 1070 = 2 × 5 × 107. Because it is the product of three distinct primes it is a sphenic number. It is even and composite, has eight positive divisors, and is classified as a deficient number because the sum of its proper divisors (874) is less than 1070.

  • Prime factorization: 2 × 5 × 107
  • Divisors: 1, 2, 5, 10, 107, 214, 535, 1070
  • Number of divisors: 8; sum of all divisors: 1944; sum of proper divisors: 874 (deficient)
  • Euler's totient: φ(1070) = 424
  • Representations: binary 10000101110, octal 2056, hexadecimal 42E, Roman numeral MLXX

History and year designations

The sequence of digits "1070" designates the years AD 1070 and 1070 BC. AD 1070 falls within the 11th century and, in a broad sense, is associated with the period after the Norman Conquest of England and with ecclesiastical and political changes across Europe and Asia. The year 1070 BC belongs to the Late Bronze Age in many parts of the world; surviving records from that era are scarcer and appear mainly in archaeological and ancient chronicle contexts.

Uses and notable references

Beyond pure mathematics and chronological labeling, 1070 is frequently used as an identifier for products, transportation routes, and models. A widely known modern example is the NVIDIA GeForce GTX 1070, a consumer graphics card introduced in 2016 as part of NVIDIA's Pascal-generation lineup. Numeric labels such as 1070 are also applied to highways, aircraft components, and electronics, where the digits are an arbitrary but convenient short identifier.

Notable distinguishing facts: 1070 is not a prime, not a perfect power, and—because the prime 107 is congruent to 3 (mod 4) with odd exponent—it cannot be written as a sum of two integer squares. Its simple factor structure makes it easy to work with in divisibility and totient calculations, so it frequently appears in elementary number-theory examples.