481000481

481000481 is a nine-digit integer in the base-10 numeral system. Its decimal representation shows a distinct block pattern, with the first three digits 481 and the last three digits also 481, separated by a middle block of 000. In arithmetic terms, 481000481 can be written as 481 × 1,000,001.

The number is composite, and its prime factorization can be derived from the factorization of its two factors. Since 481 = 13 × 37 and 1,000,001 = 101 × 9,901, a straightforward factorization of 481000481 is 13 × 37 × 101 × 9,901. All four factors are prime, making 481000481 a product of four primes. This highlights a structural property: numbers of the form abc000abc can be expressed as abc × (10^6 + 1), and further factorized by factoring 10^6 + 1 = (10^2 + 1)(10^4 − 10^2 + 1) = 101 × 9,901.

In mathematical contexts, such numbers are sometimes cited as examples of how decimal patterns relate to algebraic factorization, illustrating how a repeating block around a central zeros can lead to a straightforward decomposition. There is no widely recognized historical significance attached specifically to 481000481; it is mainly of interest as a neat instance of factorization in recreational number theory and in discussions of decimal-to-factor relations.