4043
4043 is a odd composite number that follows 4042 and precedes 4044. It is composed of 4 distinct factors: 1, 13, 311, 4043. Its prime factorization can be written as 13 × 311. 4043 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4043 is represented as 111111001011 in binary and FCB in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 311) reveals 2 prime building blocks.
Divisible by 2
4043 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
4043 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 11 is not a multiple of 9.
Divisible by 10
4043 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 4043 within several notable number theory sequences:
Timeline
Deep dive
How 4043 breaks down
4043 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 325, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111001011 supports bitwise reasoning, hexadecimal FCB aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4043 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4043 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4038–4048) to tune search ranges, and educators feature 4043 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 4043 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 4043
Is 4043 a prime number?
4043 is composite with 4 total factors and the prime factorization 13 × 311.
What is the prime factorization of 4043?
It breaks down as 13 × 311, multiplying the primes 13 × 311.
How is 4043 represented in binary and hexadecimal?
4043 converts to 111111001011 in binary and FCB in hexadecimal, which are helpful for computer science applications.
Is 4043 a perfect square, cube, or triangular number?
4043 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4043?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.