4408
4408 is a even composite number that follows 4407 and precedes 4409. It is composed of 16 distinct factors: 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408. Its prime factorization can be written as 2^3 × 19 × 29. 4408 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4408 is represented as 1000100111000 in binary and 1138 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 19 × 29) reveals 5 prime building blocks.
Divisible by 2
4408 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
4408 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
4408 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Abundant classification and digit analytics place 4408 within several notable number theory sequences:
Timeline
Deep dive
How 4408 breaks down
4408 carries 16 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 4592, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100111000 supports bitwise reasoning, hexadecimal 1138 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4408 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4408 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4403–4413) to tune search ranges, and educators feature 4408 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, Abundant numbers) help historians, numerologists, and trivia writers tie 4408 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 4408
Is 4408 a prime number?
4408 is composite with 16 total factors and the prime factorization 2^3 × 19 × 29.
What is the prime factorization of 4408?
It breaks down as 2^3 × 19 × 29, multiplying the primes 2 × 2 × 2 × 19 × 29.
How is 4408 represented in binary and hexadecimal?
4408 converts to 1000100111000 in binary and 1138 in hexadecimal, which are helpful for computer science applications.
Is 4408 a perfect square, cube, or triangular number?
4408 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4408?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.