5084
5084 is a even composite number that follows 5083 and precedes 5085. It is composed of 12 distinct factors: 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084. Its prime factorization can be written as 2^2 × 31 × 41. 5084 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5084 is represented as 1001111011100 in binary and 13DC in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 31 × 41) reveals 4 prime building blocks.
Divisible by 2
5084 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
5084 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 17 is not a multiple of 9.
Divisible by 10
5084 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 5084 within several notable number theory sequences:
Timeline
Deep dive
How 5084 breaks down
5084 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 4324, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001111011100 supports bitwise reasoning, hexadecimal 13DC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5084 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5084 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5079–5089) to tune search ranges, and educators feature 5084 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 5084 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 5084
Is 5084 a prime number?
5084 is composite with 12 total factors and the prime factorization 2^2 × 31 × 41.
What is the prime factorization of 5084?
It breaks down as 2^2 × 31 × 41, multiplying the primes 2 × 2 × 31 × 41.
How is 5084 represented in binary and hexadecimal?
5084 converts to 1001111011100 in binary and 13DC in hexadecimal, which are helpful for computer science applications.
Is 5084 a perfect square, cube, or triangular number?
5084 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5084?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.