1664th

The number 1664 is an integer that follows 1663 and precedes 1665. It is an even number. In Roman numerals, it is represented as MDCLXIV. In the context of historical events, 1664 was a year in the 17th century. Significant occurrences during this year included the Anglo-Dutch War, which saw the English capture New Netherland and rename it New York. Scientific advancements were also occurring, with Robert Hooke publishing his work "Micrographia" in 1665, building upon observations that were likely being made around this time.

In mathematics, 1664 can be factored into its prime components. It is divisible by 2, resulting in 832. Further division by 2 yields 416, then 208, 104, 52, 26, and finally 13. Therefore, the prime factorization of 1664 is 2^7 * 13. This number is not a perfect square or a perfect cube. Its divisors include 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 130, 208, 260, 416, 832, and 1664. The sum of its proper divisors (divisors excluding the number itself) is 2048.