2380
2380 is a even composite number that follows 2379 and precedes 2381. It is composed of 24 distinct factors: 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380. Its prime factorization can be written as 2^2 × 5 × 7 × 17. 2380 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2380 is represented as 100101001100 in binary and 94C in hexadecimal. Historically, it is written as MMCCCLXXX in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 5 × 7 × 17) reveals 5 prime building blocks.
Divisible by 2
2380 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
2380 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
2380 ends in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 2380 within several notable number theory sequences:
Timeline
Deep dive
How 2380 breaks down
2380 carries 24 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 3668, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101001100 supports bitwise reasoning, hexadecimal 94C aligns with computing notation, and the Roman numeral MMCCCLXXX keeps the encyclopedic tradition alive. These attributes make 2380 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2380 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2375–2385) to tune search ranges, and educators feature 2380 in worksheets about factor trees. Its binary footprint of length 12 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 2380 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 2380
Is 2380 a prime number?
2380 is composite with 24 total factors and the prime factorization 2^2 × 5 × 7 × 17.
What is the prime factorization of 2380?
It breaks down as 2^2 × 5 × 7 × 17, multiplying the primes 2 × 2 × 5 × 7 × 17.
How is 2380 represented in binary and hexadecimal?
2380 converts to 100101001100 in binary and 94C in hexadecimal, which are helpful for computer science applications.
Is 2380 a perfect square, cube, or triangular number?
2380 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2380?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.