404
404 is a even composite number that follows 403 and precedes 405. It is composed of 6 distinct factors: 1, 2, 4, 101, 202, 404. Its prime factorization can be written as 2^2 × 101. 404 is classified as a deficient number based on the sum of its proper divisors. In computer science, 404 is represented as 110010100 in binary and 194 in hexadecimal. Historically, it is written as CDIV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 101) reveals 3 prime building blocks.
Divisible by 2
404 ends in 4, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
404 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 8 is not a multiple of 9.
Divisible by 10
404 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 404 within several notable number theory sequences:
Timeline
Deep dive
How 404 breaks down
404 carries 6 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 310, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010100 supports bitwise reasoning, hexadecimal 194 aligns with computing notation, and the Roman numeral CDIV keeps the encyclopedic tradition alive. These attributes make 404 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 404 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (399–409) to tune search ranges, and educators feature 404 in worksheets about factor trees. Its binary footprint of length 9 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 404 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 404
Is 404 a prime number?
404 is composite with 6 total factors and the prime factorization 2^2 × 101.
What is the prime factorization of 404?
It breaks down as 2^2 × 101, multiplying the primes 2 × 2 × 101.
How is 404 represented in binary and hexadecimal?
404 converts to 110010100 in binary and 194 in hexadecimal, which are helpful for computer science applications.
Is 404 a perfect square, cube, or triangular number?
404 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 404?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.