4384
4384 is a even composite number that follows 4383 and precedes 4385. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384. Its prime factorization can be written as 2^5 × 137. 4384 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4384 is represented as 1000100100000 in binary and 1120 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 137) reveals 6 prime building blocks.
Divisible by 2
4384 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
4384 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 19 is not a multiple of 9.
Divisible by 10
4384 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 4384 within several notable number theory sequences:
Timeline
Deep dive
How 4384 breaks down
4384 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 4310, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100100000 supports bitwise reasoning, hexadecimal 1120 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4384 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4384 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4379–4389) to tune search ranges, and educators feature 4384 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 4384 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 4384
Is 4384 a prime number?
4384 is composite with 12 total factors and the prime factorization 2^5 × 137.
What is the prime factorization of 4384?
It breaks down as 2^5 × 137, multiplying the primes 2 × 2 × 2 × 2 × 2 × 137.
How is 4384 represented in binary and hexadecimal?
4384 converts to 1000100100000 in binary and 1120 in hexadecimal, which are helpful for computer science applications.
Is 4384 a perfect square, cube, or triangular number?
4384 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4384?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.