5653

5653 is a natural number that follows 5652 and precedes 5654. In mathematics, it is a prime number, meaning its only positive divisors are 1 and itself. It is odd, and its decimal digit sum is 19, which is not divisible by 3.

In numeral systems and representations, 5653 has several notable forms. In binary, it equals 1011000010101. In hexadecimal, it is 0x1615. In Roman numerals, it can be written as V̄DCLIII, where the overline on V denotes a value of 5,000 and DCLIII accounts for the remaining 653.

Context and usage. As a four-digit prime number, 5653 is commonly cited in instructional examples involving primality testing, base conversions, and number decomposition. It does not have a widely cited eponym or historical event associated specifically with the number. Like many integers, 5653 appears in various mathematical datasets and problems, serving as a concrete instance for illustrating properties of primes, representation in different bases, and numeral systems.