4041
4041 is a odd composite number that follows 4040 and precedes 4042. It is composed of 6 distinct factors: 1, 3, 9, 449, 1347, 4041. Its prime factorization can be written as 3^2 × 449. 4041 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4041 is represented as 111111001001 in binary and FC9 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 449) reveals 3 prime building blocks.
Divisible by 2
4041 ends in 1, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
4041 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 9 is a multiple of 9.
Divisible by 10
4041 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 4041 within several notable number theory sequences:
Timeline
Deep dive
How 4041 breaks down
4041 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1809, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111001001 supports bitwise reasoning, hexadecimal FC9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4041 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4041 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4036–4046) to tune search ranges, and educators feature 4041 in worksheets about factor trees. Its binary footprint of length 12 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 4041 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 4041
Is 4041 a prime number?
4041 is composite with 6 total factors and the prime factorization 3^2 × 449.
What is the prime factorization of 4041?
It breaks down as 3^2 × 449, multiplying the primes 3 × 3 × 449.
How is 4041 represented in binary and hexadecimal?
4041 converts to 111111001001 in binary and FC9 in hexadecimal, which are helpful for computer science applications.
Is 4041 a perfect square, cube, or triangular number?
4041 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4041?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.