9040
9040 is a even composite number that follows 9039 and precedes 9041. It is composed of 20 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040. Its prime factorization can be written as 2^4 × 5 × 113. 9040 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9040 is represented as 10001101010000 in binary and 2350 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 5 × 113) reveals 6 prime building blocks.
Divisible by 2
9040 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 40 form a multiple of 4.
Divisible by 5
9040 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
9040 ends in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Abundant classification and digit analytics place 9040 within several notable number theory sequences:
Timeline
Deep dive
How 9040 breaks down
9040 carries 20 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 12164, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001101010000 supports bitwise reasoning, hexadecimal 2350 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9040 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9040 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9035–9045) to tune search ranges, and educators feature 9040 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 9040 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 9040
Is 9040 a prime number?
9040 is composite with 20 total factors and the prime factorization 2^4 × 5 × 113.
What is the prime factorization of 9040?
It breaks down as 2^4 × 5 × 113, multiplying the primes 2 × 2 × 2 × 2 × 5 × 113.
How is 9040 represented in binary and hexadecimal?
9040 converts to 10001101010000 in binary and 2350 in hexadecimal, which are helpful for computer science applications.
Is 9040 a perfect square, cube, or triangular number?
9040 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9040?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.