6404
6404 is a even composite number that follows 6403 and precedes 6405. It is composed of 6 distinct factors: 1, 2, 4, 1601, 3202, 6404. Its prime factorization can be written as 2^2 × 1601. 6404 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6404 is represented as 1100100000100 in binary and 1904 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 1601) reveals 3 prime building blocks.
Divisible by 2
6404 ends in 4, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
6404 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 14 is not a multiple of 9.
Divisible by 10
6404 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 6404 within several notable number theory sequences:
Timeline
Deep dive
How 6404 breaks down
6404 carries 6 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 4810, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100100000100 supports bitwise reasoning, hexadecimal 1904 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6404 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6404 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6399–6409) to tune search ranges, and educators feature 6404 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 6404 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 6404
Is 6404 a prime number?
6404 is composite with 6 total factors and the prime factorization 2^2 × 1601.
What is the prime factorization of 6404?
It breaks down as 2^2 × 1601, multiplying the primes 2 × 2 × 1601.
How is 6404 represented in binary and hexadecimal?
6404 converts to 1100100000100 in binary and 1904 in hexadecimal, which are helpful for computer science applications.
Is 6404 a perfect square, cube, or triangular number?
6404 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6404?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.