9520
9520 is a even composite number that follows 9519 and precedes 9521. It is composed of 40 distinct factors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520. Its prime factorization can be written as 2^4 × 5 × 7 × 17. 9520 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9520 is represented as 10010100110000 in binary and 2530 in hexadecimal.
Factor Analysis
40 FactorsProperties
The prime factorization (2^4 × 5 × 7 × 17) reveals 7 prime building blocks.
Divisible by 2
9520 ends in 0, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
9520 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 16 is not a multiple of 9.
Divisible by 10
9520 ends in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 9520 within several notable number theory sequences:
Timeline
Deep dive
How 9520 breaks down
9520 carries 40 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 17264, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010100110000 supports bitwise reasoning, hexadecimal 2530 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9520 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9520 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9515–9525) to tune search ranges, and educators feature 9520 in worksheets about factor trees. Its binary footprint of length 14 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 9520 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 9520
Is 9520 a prime number?
9520 is composite with 40 total factors and the prime factorization 2^4 × 5 × 7 × 17.
What is the prime factorization of 9520?
It breaks down as 2^4 × 5 × 7 × 17, multiplying the primes 2 × 2 × 2 × 2 × 5 × 7 × 17.
How is 9520 represented in binary and hexadecimal?
9520 converts to 10010100110000 in binary and 2530 in hexadecimal, which are helpful for computer science applications.
Is 9520 a perfect square, cube, or triangular number?
9520 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9520?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.