2460
2460 is a even composite number that follows 2459 and precedes 2461. It is composed of 24 distinct factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460. Its prime factorization can be written as 2^2 × 3 × 5 × 41. 2460 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2460 is represented as 100110011100 in binary and 99C in hexadecimal. Historically, it is written as MMCDLX in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 5 × 41) reveals 5 prime building blocks.
Divisible by 2
2460 ends in 0, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 60 form a multiple of 4.
Divisible by 5
2460 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 12 is not a multiple of 9.
Divisible by 10
2460 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 2460 within several notable number theory sequences:
Timeline
Deep dive
How 2460 breaks down
2460 carries 24 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 4596, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110011100 supports bitwise reasoning, hexadecimal 99C aligns with computing notation, and the Roman numeral MMCDLX keeps the encyclopedic tradition alive. These attributes make 2460 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2460 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2455–2465) to tune search ranges, and educators feature 2460 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 2460 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 2460
Is 2460 a prime number?
2460 is composite with 24 total factors and the prime factorization 2^2 × 3 × 5 × 41.
What is the prime factorization of 2460?
It breaks down as 2^2 × 3 × 5 × 41, multiplying the primes 2 × 2 × 3 × 5 × 41.
How is 2460 represented in binary and hexadecimal?
2460 converts to 100110011100 in binary and 99C in hexadecimal, which are helpful for computer science applications.
Is 2460 a perfect square, cube, or triangular number?
2460 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2460?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.