1500

1500 is the natural number that follows 1499 and precedes 1501. In base-10 it is an even, composite number. Its prime factorization is 2^2 × 3 × 5^3, and it has 24 positive divisors. The sum of its divisors is 4368, making 1500 an abundant number since 4368 > 2 × 1500. It is divisible by 2, 3, 4, 5, 6, and many other integers. The digit sum is 6, so 1500 is a Harshad number in base 10.

In Roman numerals, 1500 is MD. The number is not prime, not a perfect square, and not a triangular number; its decimal representation ends with two zeros, giving it a characteristic “round” quality used in mathematics and commerce.

As a year, 1500 falls in the transition between the 15th and 16th centuries, within the early modern period. In 1500, the Portuguese explorer Pedro Álvares Cabral reached Brazil, claiming the territory for Portugal. The year is associated with ongoing shifts in trade, science, and culture that would help shape the era of exploration and the European Renaissance. The Gregorian calendar reforms—set in the 16th century and adopted at different times by various states—would later standardize dates beyond this point.

Overall, 1500 functions as a milestone number in mathematics due to its factorization and divisor structure, and as a historical marker referencing notable events in early modern global exploration.