2430
2430 is a even composite number that follows 2429 and precedes 2431. It is composed of 24 distinct factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. Its prime factorization can be written as 2 × 3^5 × 5. 2430 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2430 is represented as 100101111110 in binary and 97E in hexadecimal. Historically, it is written as MMCDXXX in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3^5 × 5) reveals 7 prime building blocks.
Divisible by 2
2430 ends in 0, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 30 are not divisible by 4.
Divisible by 5
2430 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
2430 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 2430 within several notable number theory sequences:
Timeline
Deep dive
How 2430 breaks down
2430 carries 24 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 4122, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101111110 supports bitwise reasoning, hexadecimal 97E aligns with computing notation, and the Roman numeral MMCDXXX keeps the encyclopedic tradition alive. These attributes make 2430 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2430 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2425–2435) to tune search ranges, and educators feature 2430 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 2430 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 2430
Is 2430 a prime number?
2430 is composite with 24 total factors and the prime factorization 2 × 3^5 × 5.
What is the prime factorization of 2430?
It breaks down as 2 × 3^5 × 5, multiplying the primes 2 × 3 × 3 × 3 × 3 × 3 × 5.
How is 2430 represented in binary and hexadecimal?
2430 converts to 100101111110 in binary and 97E in hexadecimal, which are helpful for computer science applications.
Is 2430 a perfect square, cube, or triangular number?
2430 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2430?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.