8470
8470 is a even composite number that follows 8469 and precedes 8471. It is composed of 24 distinct factors: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470. Its prime factorization can be written as 2 × 5 × 7 × 11^2. 8470 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8470 is represented as 10000100010110 in binary and 2116 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 5 × 7 × 11^2) reveals 5 prime building blocks.
Divisible by 2
8470 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
8470 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 19 is not a multiple of 9.
Divisible by 10
8470 ends in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 8470 within several notable number theory sequences:
Timeline
Deep dive
How 8470 breaks down
8470 carries 24 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 10682, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000100010110 supports bitwise reasoning, hexadecimal 2116 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8470 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8470 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8465–8475) to tune search ranges, and educators feature 8470 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 8470 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 8470
Is 8470 a prime number?
8470 is composite with 24 total factors and the prime factorization 2 × 5 × 7 × 11^2.
What is the prime factorization of 8470?
It breaks down as 2 × 5 × 7 × 11^2, multiplying the primes 2 × 5 × 7 × 11 × 11.
How is 8470 represented in binary and hexadecimal?
8470 converts to 10000100010110 in binary and 2116 in hexadecimal, which are helpful for computer science applications.
Is 8470 a perfect square, cube, or triangular number?
8470 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8470?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.