320
320 is a even composite number that follows 319 and precedes 321. It is composed of 14 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. Its prime factorization can be written as 2^6 × 5. 320 is classified as a abundant number based on the sum of its proper divisors. In computer science, 320 is represented as 101000000 in binary and 140 in hexadecimal. Historically, it is written as CCCXX in Roman numerals.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 5) reveals 7 prime building blocks.
Divisible by 2
320 ends in 0, so it is even.
Divisible by 3
The digit sum 5 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
320 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 5 is not a multiple of 9.
Divisible by 10
320 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 320 within several notable number theory sequences:
Timeline
Deep dive
How 320 breaks down
320 carries 14 distinct factors and a digit signature of 5 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 442, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000000 supports bitwise reasoning, hexadecimal 140 aligns with computing notation, and the Roman numeral CCCXX keeps the encyclopedic tradition alive. These attributes make 320 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 320 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (315–325) to tune search ranges, and educators feature 320 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 320 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 320
Is 320 a prime number?
320 is composite with 14 total factors and the prime factorization 2^6 × 5.
What is the prime factorization of 320?
It breaks down as 2^6 × 5, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 5.
How is 320 represented in binary and hexadecimal?
320 converts to 101000000 in binary and 140 in hexadecimal, which are helpful for computer science applications.
Is 320 a perfect square, cube, or triangular number?
320 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 320?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.