169169169

169169169 is a nine-digit decimal integer formed by concatenating the square 169 three times. 169 is 13 squared (13^2). The number equals 169000000 + 169000 + 169, i.e., 169 × 1,001,001.

As a product, 169169169 = 13^2 × 1,001,001 = 13^2 × 3 × 333,667. The digit sum is 48, so it is divisible by 3 but not by 9. It is divisible by 39 (3 × 13). The quotient when divided by 39 is 4,337,671.

In base 1000, the value is written as three identical digits: [169, 169, 169], since 169 × (1000^2 + 1000 + 1) equals the number. In decimal form, the digits create a repeating block of 169, reflecting the concatenation of the square.

169169169 is notable mainly as a curiosity arising from the repetition of 169; there is no widely recognized constant or theorem associated with this exact number. It is sometimes cited in puzzles as an example of block repetition or concatenation of a square, and it illustrates how such structures translate across number bases.

See also: concatenation of numbers, repdigits, base-1000 representations, 169 (the square 13^2).