920
920 is a even composite number that follows 919 and precedes 921. It is composed of 16 distinct factors: 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. Its prime factorization can be written as 2^3 × 5 × 23. 920 is classified as a abundant number based on the sum of its proper divisors. In computer science, 920 is represented as 1110011000 in binary and 398 in hexadecimal. Historically, it is written as CMXX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 5 × 23) reveals 5 prime building blocks.
Divisible by 2
920 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 20 form a multiple of 4.
Divisible by 5
920 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
920 ends in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 920 within several notable number theory sequences:
Timeline
Deep dive
How 920 breaks down
920 carries 16 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 1240, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110011000 supports bitwise reasoning, hexadecimal 398 aligns with computing notation, and the Roman numeral CMXX keeps the encyclopedic tradition alive. These attributes make 920 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 920 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (915–925) to tune search ranges, and educators feature 920 in worksheets about factor trees. Its binary footprint of length 10 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 920 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 920
Is 920 a prime number?
920 is composite with 16 total factors and the prime factorization 2^3 × 5 × 23.
What is the prime factorization of 920?
It breaks down as 2^3 × 5 × 23, multiplying the primes 2 × 2 × 2 × 5 × 23.
How is 920 represented in binary and hexadecimal?
920 converts to 1110011000 in binary and 398 in hexadecimal, which are helpful for computer science applications.
Is 920 a perfect square, cube, or triangular number?
920 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 920?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.