184
184 is a even composite number that follows 183 and precedes 185. It is composed of 8 distinct factors: 1, 2, 4, 8, 23, 46, 92, 184. Its prime factorization can be written as 2^3 × 23. 184 is classified as a deficient number based on the sum of its proper divisors. In computer science, 184 is represented as 10111000 in binary and B8 in hexadecimal. Historically, it is written as CLXXXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 23) reveals 4 prime building blocks.
Divisible by 2
184 ends in 4, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
184 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 13 is not a multiple of 9.
Divisible by 10
184 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 184 within several notable number theory sequences:
Timeline
Deep dive
How 184 breaks down
184 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 176, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111000 supports bitwise reasoning, hexadecimal B8 aligns with computing notation, and the Roman numeral CLXXXIV keeps the encyclopedic tradition alive. These attributes make 184 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 184 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (179–189) to tune search ranges, and educators feature 184 in worksheets about factor trees. Its binary footprint of length 8 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 184 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 184
Is 184 a prime number?
184 is composite with 8 total factors and the prime factorization 2^3 × 23.
What is the prime factorization of 184?
It breaks down as 2^3 × 23, multiplying the primes 2 × 2 × 2 × 23.
How is 184 represented in binary and hexadecimal?
184 converts to 10111000 in binary and B8 in hexadecimal, which are helpful for computer science applications.
Is 184 a perfect square, cube, or triangular number?
184 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 184?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.