6409
6409 is a odd composite number that follows 6408 and precedes 6410. It is composed of 8 distinct factors: 1, 13, 17, 29, 221, 377, 493, 6409. Its prime factorization can be written as 13 × 17 × 29. 6409 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6409 is represented as 1100100001001 in binary and 1909 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (13 × 17 × 29) reveals 3 prime building blocks.
Divisible by 2
6409 ends in 9, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
6409 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
6409 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 6409 within several notable number theory sequences:
Timeline
Deep dive
How 6409 breaks down
6409 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1151, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100100001001 supports bitwise reasoning, hexadecimal 1909 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6409 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6409 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6404–6414) to tune search ranges, and educators feature 6409 in worksheets about factor trees. Its binary footprint of length 13 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 6409 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 6409
Is 6409 a prime number?
6409 is composite with 8 total factors and the prime factorization 13 × 17 × 29.
What is the prime factorization of 6409?
It breaks down as 13 × 17 × 29, multiplying the primes 13 × 17 × 29.
How is 6409 represented in binary and hexadecimal?
6409 converts to 1100100001001 in binary and 1909 in hexadecimal, which are helpful for computer science applications.
Is 6409 a perfect square, cube, or triangular number?
6409 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6409?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.