8041
8041 is a odd composite number that follows 8040 and precedes 8042. It is composed of 8 distinct factors: 1, 11, 17, 43, 187, 473, 731, 8041. Its prime factorization can be written as 11 × 17 × 43. 8041 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8041 is represented as 1111101101001 in binary and 1F69 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (11 × 17 × 43) reveals 3 prime building blocks.
Divisible by 2
8041 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
8041 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
8041 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 8041 within several notable number theory sequences:
Timeline
Deep dive
How 8041 breaks down
8041 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1463, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101101001 supports bitwise reasoning, hexadecimal 1F69 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8041 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8041 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8036–8046) to tune search ranges, and educators feature 8041 in worksheets about factor trees. Its binary footprint of length 13 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 8041 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 8041
Is 8041 a prime number?
8041 is composite with 8 total factors and the prime factorization 11 × 17 × 43.
What is the prime factorization of 8041?
It breaks down as 11 × 17 × 43, multiplying the primes 11 × 17 × 43.
How is 8041 represented in binary and hexadecimal?
8041 converts to 1111101101001 in binary and 1F69 in hexadecimal, which are helpful for computer science applications.
Is 8041 a perfect square, cube, or triangular number?
8041 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8041?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.