4380
4380 is a even composite number that follows 4379 and precedes 4381. It is composed of 24 distinct factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380. Its prime factorization can be written as 2^2 × 3 × 5 × 73. 4380 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4380 is represented as 1000100011100 in binary and 111C in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 5 × 73) reveals 5 prime building blocks.
Divisible by 2
4380 ends in 0, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
4380 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
4380 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 4380 within several notable number theory sequences:
Timeline
Deep dive
How 4380 breaks down
4380 carries 24 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 8052, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100011100 supports bitwise reasoning, hexadecimal 111C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4380 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4380 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4375–4385) to tune search ranges, and educators feature 4380 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 4380 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 4380
Is 4380 a prime number?
4380 is composite with 24 total factors and the prime factorization 2^2 × 3 × 5 × 73.
What is the prime factorization of 4380?
It breaks down as 2^2 × 3 × 5 × 73, multiplying the primes 2 × 2 × 3 × 5 × 73.
How is 4380 represented in binary and hexadecimal?
4380 converts to 1000100011100 in binary and 111C in hexadecimal, which are helpful for computer science applications.
Is 4380 a perfect square, cube, or triangular number?
4380 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4380?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.