4084
4084 is a even composite number that follows 4083 and precedes 4085. It is composed of 6 distinct factors: 1, 2, 4, 1021, 2042, 4084. Its prime factorization can be written as 2^2 × 1021. 4084 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4084 is represented as 111111110100 in binary and FF4 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 1021) reveals 3 prime building blocks.
Divisible by 2
4084 ends in 4, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
4084 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 16 is not a multiple of 9.
Divisible by 10
4084 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 4084 within several notable number theory sequences:
Timeline
Deep dive
How 4084 breaks down
4084 carries 6 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 3070, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111110100 supports bitwise reasoning, hexadecimal FF4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4084 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4084 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4079–4089) to tune search ranges, and educators feature 4084 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 4084 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 4084
Is 4084 a prime number?
4084 is composite with 6 total factors and the prime factorization 2^2 × 1021.
What is the prime factorization of 4084?
It breaks down as 2^2 × 1021, multiplying the primes 2 × 2 × 1021.
How is 4084 represented in binary and hexadecimal?
4084 converts to 111111110100 in binary and FF4 in hexadecimal, which are helpful for computer science applications.
Is 4084 a perfect square, cube, or triangular number?
4084 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4084?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.