27404
27404 is a even composite number that follows 27403 and precedes 27405. It is composed of 24 distinct factors: 1, 2, 4, 13, 17, 26, 31, 34, 52, 62, 68, 124, 221, 403, 442, 527, 806, 884, 1054, 1612, 2108, 6851, 13702, 27404. Its prime factorization can be written as 2^2 × 13 × 17 × 31. 27404 is classified as a abundant number based on the sum of its proper divisors. In computer science, 27404 is represented as 110101100001100 in binary and 6B0C in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 13 × 17 × 31) reveals 5 prime building blocks.
Divisible by 2
27404 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
27404 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 17 is not a multiple of 9.
Divisible by 10
27404 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 27404 within several notable number theory sequences:
Timeline
Deep dive
How 27404 breaks down
27404 carries 24 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 29044, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101100001100 supports bitwise reasoning, hexadecimal 6B0C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 27404 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 27404 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (27399–27409) to tune search ranges, and educators feature 27404 in worksheets about factor trees. Its binary footprint of length 15 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 27404 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 27404
Is 27404 a prime number?
27404 is composite with 24 total factors and the prime factorization 2^2 × 13 × 17 × 31.
What is the prime factorization of 27404?
It breaks down as 2^2 × 13 × 17 × 31, multiplying the primes 2 × 2 × 13 × 17 × 31.
How is 27404 represented in binary and hexadecimal?
27404 converts to 110101100001100 in binary and 6B0C in hexadecimal, which are helpful for computer science applications.
Is 27404 a perfect square, cube, or triangular number?
27404 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 27404?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.