333333333

333,333,333 is a natural number consisting of nine repeated digits of 3 in base 10. In decimal notation it is the repdigit 3 repeated nine times and, as a result, it is a palindrome.

Mathematically, 333,333,333 equals 3 × 111,111,111 and can also be written as 27 × 12,345,679. This factorization shows that the number is divisible by 3, 9, and 27. Specifically, 333,333,333 ÷ 9 = 37,037,037 and 333,333,333 ÷ 27 = 12,345,679. The factor 12,345,679 is notable because 9 × 12,345,679 = 111,111,111, linking the number to the repeating unit 111,111,111.

In numerical classification, 333,333,333 is a nine-digit integer located between 100,000,000 and 999,999,999. It is not a prime number, given its divisibility by small powers of 3, and its prime factorization includes 3^3 as a factor.

Usage and occurrences: as a simple, highly patterned number, 333,333,333 is often cited in educational contexts to illustrate concepts such as repdigits, divisibility tests, and elementary factorization. Its all-same-digit form makes it a common example in problems involving digit sums and palindromic properties.

Overall, 333,333,333 is primarily notable for its uniform decimal representation and its straightforward, yet nontrivial, factorization involving small powers of 3 and the number 12,345,679.