3484
3484 is a even composite number that follows 3483 and precedes 3485. It is composed of 12 distinct factors: 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484. Its prime factorization can be written as 2^2 × 13 × 67. 3484 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3484 is represented as 110110011100 in binary and D9C in hexadecimal. Historically, it is written as MMMCDLXXXIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 67) reveals 4 prime building blocks.
Divisible by 2
3484 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
3484 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 19 is not a multiple of 9.
Divisible by 10
3484 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 3484 within several notable number theory sequences:
Timeline
Deep dive
How 3484 breaks down
3484 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 3180, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110011100 supports bitwise reasoning, hexadecimal D9C aligns with computing notation, and the Roman numeral MMMCDLXXXIV keeps the encyclopedic tradition alive. These attributes make 3484 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3484 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3479–3489) to tune search ranges, and educators feature 3484 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 3484 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 3484
Is 3484 a prime number?
3484 is composite with 12 total factors and the prime factorization 2^2 × 13 × 67.
What is the prime factorization of 3484?
It breaks down as 2^2 × 13 × 67, multiplying the primes 2 × 2 × 13 × 67.
How is 3484 represented in binary and hexadecimal?
3484 converts to 110110011100 in binary and D9C in hexadecimal, which are helpful for computer science applications.
Is 3484 a perfect square, cube, or triangular number?
3484 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3484?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.