6604
6604 is a even composite number that follows 6603 and precedes 6605. It is composed of 12 distinct factors: 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604. Its prime factorization can be written as 2^2 × 13 × 127. 6604 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6604 is represented as 1100111001100 in binary and 19CC in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 127) reveals 4 prime building blocks.
Divisible by 2
6604 ends in 4, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
6604 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
6604 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 6604 within several notable number theory sequences:
Timeline
Deep dive
How 6604 breaks down
6604 carries 12 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 5940, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100111001100 supports bitwise reasoning, hexadecimal 19CC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6604 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6604 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6599–6609) to tune search ranges, and educators feature 6604 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 6604 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 6604
Is 6604 a prime number?
6604 is composite with 12 total factors and the prime factorization 2^2 × 13 × 127.
What is the prime factorization of 6604?
It breaks down as 2^2 × 13 × 127, multiplying the primes 2 × 2 × 13 × 127.
How is 6604 represented in binary and hexadecimal?
6604 converts to 1100111001100 in binary and 19CC in hexadecimal, which are helpful for computer science applications.
Is 6604 a perfect square, cube, or triangular number?
6604 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6604?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.