5337

5337 is a natural number that follows 5336 and precedes 5338. It is an odd composite number with prime factorization 3^2 × 593, where 593 is itself prime. Consequently the positive divisors of 5337 are 1, 3, 9, 593, 1779, and 5337, giving it six divisors in total.

In various bases, 5337 has distinct representations: in binary it is 1010011011001_2, in octal it is 12331_8, and in hexadecimal it is 14D9_16. The digit sum in decimal is 5 + 3 + 3 + 7 = 18, so 5337 is not a Harshad number (not divisible by the sum of its digits). The sum of all divisors is σ(5337) = (1 + 3 + 9) × (1 + 593) = 13 × 594 = 7722, making the sum of proper divisors equal to 7722 − 5337 = 2385.

In Roman numerals, 5337 is typically written with an overline to denote 5000, yielding V̄ CCC XXX VII, representing 5000 + 300 + 30 + 7. This reflects the conventional subtractive and additive approaches used for large numbers in classical notation.

Mathematically, 5337 is divisible by 9 and 593, but not by 27 or any other small primes beyond 3 and 593. It is not a prime, not a perfect square, and it does not belong to widely known special-number families beyond its basic factorization. Spelled out, 5337 reads as five thousand three hundred thirty-seven.