8240
8240 is a even composite number that follows 8239 and precedes 8241. It is composed of 20 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120, 8240. Its prime factorization can be written as 2^4 × 5 × 103. 8240 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8240 is represented as 10000000110000 in binary and 2030 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 5 × 103) reveals 6 prime building blocks.
Divisible by 2
8240 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
8240 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 14 is not a multiple of 9.
Divisible by 10
8240 ends in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 8240 within several notable number theory sequences:
Timeline
Deep dive
How 8240 breaks down
8240 carries 20 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 11104, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000000110000 supports bitwise reasoning, hexadecimal 2030 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8240 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8240 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8235–8245) to tune search ranges, and educators feature 8240 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 8240 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 8240
Is 8240 a prime number?
8240 is composite with 20 total factors and the prime factorization 2^4 × 5 × 103.
What is the prime factorization of 8240?
It breaks down as 2^4 × 5 × 103, multiplying the primes 2 × 2 × 2 × 2 × 5 × 103.
How is 8240 represented in binary and hexadecimal?
8240 converts to 10000000110000 in binary and 2030 in hexadecimal, which are helpful for computer science applications.
Is 8240 a perfect square, cube, or triangular number?
8240 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8240?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.