536

536 is a natural number that follows 535 and precedes 537. In mathematics, it is an even composite number.

Its prime factorization is 2^3 × 67, and its positive divisors are 1, 2, 4, 8, 67, 134, 268, and 536. The sum of all divisors is 1,020, and the sum of its proper divisors is 484, making 536 a deficient number (not perfect or abundant). In various bases, 536 is written as 1000011000 in binary, 0o1030 in octal, and 0x218 in hexadecimal. In Roman numerals it is DXXXVI.

Historically, the year 536 CE is notable for documented climatic anomalies described in contemporary sources. Historians link these events to a large volcanic eruption or series of eruptions that produced a dust veil, contributing to unusually cold conditions and crop failures across parts of Europe, the Middle East, and Asia. The climatic effects of that year are among the earliest well-attested examples of how volcanic activity can influence global weather patterns.

In other contexts, 536 may appear in catalogs, model numbers, or numerical identifiers, but its primary significance lies in its mathematical properties and its association with the historically documented climatic episode of the mid-6th century.