3409
3409 is a odd composite number that follows 3408 and precedes 3410. It is composed of 4 distinct factors: 1, 7, 487, 3409. Its prime factorization can be written as 7 × 487. 3409 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3409 is represented as 110101010001 in binary and D51 in hexadecimal. Historically, it is written as MMMCDIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 487) reveals 2 prime building blocks.
Divisible by 2
3409 ends in 9, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
3409 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
3409 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Deficient classification and digit analytics place 3409 within several notable number theory sequences:
Timeline
Deep dive
How 3409 breaks down
3409 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 495, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101010001 supports bitwise reasoning, hexadecimal D51 aligns with computing notation, and the Roman numeral MMMCDIX keeps the encyclopedic tradition alive. These attributes make 3409 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3409 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3404–3414) to tune search ranges, and educators feature 3409 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 3409 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 3409
Is 3409 a prime number?
3409 is composite with 4 total factors and the prime factorization 7 × 487.
What is the prime factorization of 3409?
It breaks down as 7 × 487, multiplying the primes 7 × 487.
How is 3409 represented in binary and hexadecimal?
3409 converts to 110101010001 in binary and D51 in hexadecimal, which are helpful for computer science applications.
Is 3409 a perfect square, cube, or triangular number?
3409 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3409?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.