3184
3184 is a even composite number that follows 3183 and precedes 3185. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184. Its prime factorization can be written as 2^4 × 199. 3184 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3184 is represented as 110001110000 in binary and C70 in hexadecimal. Historically, it is written as MMMCLXXXIV in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 199) reveals 5 prime building blocks.
Divisible by 2
3184 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
3184 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
3184 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 3184 within several notable number theory sequences:
Timeline
Deep dive
How 3184 breaks down
3184 carries 10 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 3016, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001110000 supports bitwise reasoning, hexadecimal C70 aligns with computing notation, and the Roman numeral MMMCLXXXIV keeps the encyclopedic tradition alive. These attributes make 3184 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3184 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3179–3189) to tune search ranges, and educators feature 3184 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 3184 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 3184
Is 3184 a prime number?
3184 is composite with 10 total factors and the prime factorization 2^4 × 199.
What is the prime factorization of 3184?
It breaks down as 2^4 × 199, multiplying the primes 2 × 2 × 2 × 2 × 199.
How is 3184 represented in binary and hexadecimal?
3184 converts to 110001110000 in binary and C70 in hexadecimal, which are helpful for computer science applications.
Is 3184 a perfect square, cube, or triangular number?
3184 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3184?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.