2470
2470 is a even composite number that follows 2469 and precedes 2471. It is composed of 16 distinct factors: 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470. Its prime factorization can be written as 2 × 5 × 13 × 19. 2470 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2470 is represented as 100110100110 in binary and 9A6 in hexadecimal. Historically, it is written as MMCDLXX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 13 × 19) reveals 4 prime building blocks.
Divisible by 2
2470 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 70 are not divisible by 4.
Divisible by 5
2470 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
2470 ends in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 2470 within several notable number theory sequences:
Timeline
Deep dive
How 2470 breaks down
2470 carries 16 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 2570, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110100110 supports bitwise reasoning, hexadecimal 9A6 aligns with computing notation, and the Roman numeral MMCDLXX keeps the encyclopedic tradition alive. These attributes make 2470 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2470 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2465–2475) to tune search ranges, and educators feature 2470 in worksheets about factor trees. Its binary footprint of length 12 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 2470 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 2470
Is 2470 a prime number?
2470 is composite with 16 total factors and the prime factorization 2 × 5 × 13 × 19.
What is the prime factorization of 2470?
It breaks down as 2 × 5 × 13 × 19, multiplying the primes 2 × 5 × 13 × 19.
How is 2470 represented in binary and hexadecimal?
2470 converts to 100110100110 in binary and 9A6 in hexadecimal, which are helpful for computer science applications.
Is 2470 a perfect square, cube, or triangular number?
2470 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2470?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.