484
484 is a even composite number that follows 483 and precedes 485. It is composed of 9 distinct factors: 1, 2, 4, 11, 22, 44, 121, 242, 484. Its prime factorization can be written as 2^2 × 11^2. 484 is classified as a deficient number based on the sum of its proper divisors. In computer science, 484 is represented as 111100100 in binary and 1E4 in hexadecimal. Historically, it is written as CDLXXXIV in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
9 FactorsProperties
The prime factorization (2^2 × 11^2) reveals 4 prime building blocks.
Divisible by 2
484 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
484 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
484 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 484 within several notable number theory sequences:
Timeline
Deep dive
How 484 breaks down
484 carries 9 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 447, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100100 supports bitwise reasoning, hexadecimal 1E4 aligns with computing notation, and the Roman numeral CDLXXXIV keeps the encyclopedic tradition alive. These attributes make 484 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 484 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (479–489) to tune search ranges, and educators feature 484 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, Perfect squares) help historians, numerologists, and trivia writers tie 484 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 484
Is 484 a prime number?
484 is composite with 9 total factors and the prime factorization 2^2 × 11^2.
What is the prime factorization of 484?
It breaks down as 2^2 × 11^2, multiplying the primes 2 × 2 × 11 × 11.
How is 484 represented in binary and hexadecimal?
484 converts to 111100100 in binary and 1E4 in hexadecimal, which are helpful for computer science applications.
Is 484 a perfect square, cube, or triangular number?
484 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 484?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.