3404
3404 is a even composite number that follows 3403 and precedes 3405. It is composed of 12 distinct factors: 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404. Its prime factorization can be written as 2^2 × 23 × 37. 3404 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3404 is represented as 110101001100 in binary and D4C in hexadecimal. Historically, it is written as MMMCDIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 23 × 37) reveals 4 prime building blocks.
Divisible by 2
3404 ends in 4, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
3404 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 11 is not a multiple of 9.
Divisible by 10
3404 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 3404 within several notable number theory sequences:
Timeline
Deep dive
How 3404 breaks down
3404 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 2980, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101001100 supports bitwise reasoning, hexadecimal D4C aligns with computing notation, and the Roman numeral MMMCDIV keeps the encyclopedic tradition alive. These attributes make 3404 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3404 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3399–3409) to tune search ranges, and educators feature 3404 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 3404 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 3404
Is 3404 a prime number?
3404 is composite with 12 total factors and the prime factorization 2^2 × 23 × 37.
What is the prime factorization of 3404?
It breaks down as 2^2 × 23 × 37, multiplying the primes 2 × 2 × 23 × 37.
How is 3404 represented in binary and hexadecimal?
3404 converts to 110101001100 in binary and D4C in hexadecimal, which are helpful for computer science applications.
Is 3404 a perfect square, cube, or triangular number?
3404 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3404?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.