3343

3343 is a natural number that comes after 3342 and before 3344. It is an odd integer and, in mathematical terms, is notable for its primality rather than for a particular geometric or algebraic interpretation.

In number theory, 3343 is a prime number. Its only positive divisors are 1 and 3343. Because 3343 ≡ 3 mod 4, it cannot be expressed as a sum of two squares. Its representations in different bases include binary notation 110100001111 and hexadecimal notation 0xD0F. The sum of its decimal digits is 13, giving a digital root of 4.

In Roman numerals, 3343 is written as MMMCCCXLIII, reflecting 3000 (MMM), 300 (CCC), 40 (XL), and 3 (III). As with many primes that do not belong to a small-set special form, 3343 does not have a widely noted exceptional property beyond primality.

Beyond these arithmetic properties, 3343 may appear in various numeric lists, catalogs, or designations where a specific prime or sequential identifier is required. There is no prominent mathematical constant, identity, or theorem universally associated with the number 3343.