109471

109471 is a positive integer in the decimal system, located between 109470 and 109472 in the natural number sequence. In mathematics, it is a prime number, with a divisibility check by primes up to its approximate square root (about 330.7) yielding no factors. It is an odd number, and its digits sum to 22, which shows it is not divisible by 3. It is congruent to 3 modulo 4 and to 7 modulo 8.

As a prime with p ≡ 3 (mod 4), 109471 cannot be expressed as a sum of two integer squares, in accordance with Fermat’s theorem on sums of two squares. This places 109471 among primes that do not have a two-square representation, reflecting a common property of primes in the 4k+3 class.

In alternate numeral systems, 109471 has straightforward representations: in hexadecimal it is 0x1AB9F, and in binary it is 11010101110011111. These representations are useful in contexts such as computing and digital design, where different bases can simplify certain operations or analyses.