3483
3483 is a odd composite number that follows 3482 and precedes 3484. It is composed of 10 distinct factors: 1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483. Its prime factorization can be written as 3^4 × 43. 3483 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3483 is represented as 110110011011 in binary and D9B in hexadecimal. Historically, it is written as MMMCDLXXXIII in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (3^4 × 43) reveals 5 prime building blocks.
Divisible by 2
3483 ends in 3, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 83 are not divisible by 4.
Divisible by 5
3483 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 18 is a multiple of 9.
Divisible by 10
3483 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 3483 within several notable number theory sequences:
Timeline
Deep dive
How 3483 breaks down
3483 carries 10 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1841, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110011011 supports bitwise reasoning, hexadecimal D9B aligns with computing notation, and the Roman numeral MMMCDLXXXIII keeps the encyclopedic tradition alive. These attributes make 3483 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3483 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3478–3488) to tune search ranges, and educators feature 3483 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 3483 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 3483
Is 3483 a prime number?
3483 is composite with 10 total factors and the prime factorization 3^4 × 43.
What is the prime factorization of 3483?
It breaks down as 3^4 × 43, multiplying the primes 3 × 3 × 3 × 3 × 43.
How is 3483 represented in binary and hexadecimal?
3483 converts to 110110011011 in binary and D9B in hexadecimal, which are helpful for computer science applications.
Is 3483 a perfect square, cube, or triangular number?
3483 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3483?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.