284
284 is a even composite number that follows 283 and precedes 285. It is composed of 6 distinct factors: 1, 2, 4, 71, 142, 284. Its prime factorization can be written as 2^2 × 71. 284 is classified as a deficient number based on the sum of its proper divisors. In computer science, 284 is represented as 100011100 in binary and 11C in hexadecimal. Historically, it is written as CCLXXXIV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 71) reveals 3 prime building blocks.
Divisible by 2
284 ends in 4, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
284 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 14 is not a multiple of 9.
Divisible by 10
284 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 284 within several notable number theory sequences:
Timeline
Deep dive
How 284 breaks down
284 carries 6 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 220, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100011100 supports bitwise reasoning, hexadecimal 11C aligns with computing notation, and the Roman numeral CCLXXXIV keeps the encyclopedic tradition alive. These attributes make 284 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 284 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (279–289) to tune search ranges, and educators feature 284 in worksheets about factor trees. Its binary footprint of length 9 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 284 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 284
Is 284 a prime number?
284 is composite with 6 total factors and the prime factorization 2^2 × 71.
What is the prime factorization of 284?
It breaks down as 2^2 × 71, multiplying the primes 2 × 2 × 71.
How is 284 represented in binary and hexadecimal?
284 converts to 100011100 in binary and 11C in hexadecimal, which are helpful for computer science applications.
Is 284 a perfect square, cube, or triangular number?
284 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 284?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.