3333

3333 is a natural number that follows 3332 and precedes 3334. In base-10 notation it is a four-digit repdigit, consisting of the digit 3 repeated four times.

Mathematics and properties: 3333 factorizes as 3 × 11 × 101, which makes it a composite number. It is divisible by 3 (the sum of its digits is 12), as well as by 11 and by 101, and it can be expressed as 33 × 101. The digit sum is 12, giving a digital root of 3. In modular arithmetic, 3333 is congruent to 3 modulo 9 and is 0 modulo 3.

Numeral representations: In Roman numerals, 3333 is written as MMMCCCXXXIII. In binary it is 110100000101. In hexadecimal it is 0xD05, and in octal it is 0o6405. These representations reflect the same value expressed in different bases.

Cultural and mathematical context: As a repdigit, 3333 is part of a class of numbers with identical digits in base 10. Its prime factors include 101, which is itself a palindrome and a prime number, a feature that sometimes draws interest in recreational number theory. Outside of pure arithmetic, 3333 is occasionally encountered in date-time, serial numbers, or numerology discussions, but it has no widely recognized intrinsic significance beyond its mathematical properties.