380
380 is a even composite number that follows 379 and precedes 381. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. Its prime factorization can be written as 2^2 × 5 × 19. 380 is classified as a abundant number based on the sum of its proper divisors. In computer science, 380 is represented as 101111100 in binary and 17C in hexadecimal. Historically, it is written as CCCLXXX in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 19) reveals 4 prime building blocks.
Divisible by 2
380 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
380 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 11 is not a multiple of 9.
Divisible by 10
380 ends in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 380 within several notable number theory sequences:
Timeline
Deep dive
How 380 breaks down
380 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 460, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111100 supports bitwise reasoning, hexadecimal 17C aligns with computing notation, and the Roman numeral CCCLXXX keeps the encyclopedic tradition alive. These attributes make 380 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 380 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (375–385) to tune search ranges, and educators feature 380 in worksheets about factor trees. Its binary footprint of length 9 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 380 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 380
Is 380 a prime number?
380 is composite with 12 total factors and the prime factorization 2^2 × 5 × 19.
What is the prime factorization of 380?
It breaks down as 2^2 × 5 × 19, multiplying the primes 2 × 2 × 5 × 19.
How is 380 represented in binary and hexadecimal?
380 converts to 101111100 in binary and 17C in hexadecimal, which are helpful for computer science applications.
Is 380 a perfect square, cube, or triangular number?
380 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 380?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.