2412
2412 is a even composite number that follows 2411 and precedes 2413. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412. Its prime factorization can be written as 2^2 × 3^2 × 67. 2412 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2412 is represented as 100101101100 in binary and 96C in hexadecimal. Historically, it is written as MMCDXII in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 67) reveals 5 prime building blocks.
Divisible by 2
2412 ends in 2, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 12 form a multiple of 4.
Divisible by 5
2412 does not end in 0 or 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
2412 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 2412 within several notable number theory sequences:
Timeline
Deep dive
How 2412 breaks down
2412 carries 18 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 3776, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101101100 supports bitwise reasoning, hexadecimal 96C aligns with computing notation, and the Roman numeral MMCDXII keeps the encyclopedic tradition alive. These attributes make 2412 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2412 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2407–2417) to tune search ranges, and educators feature 2412 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 2412 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 2412
Is 2412 a prime number?
2412 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 67.
What is the prime factorization of 2412?
It breaks down as 2^2 × 3^2 × 67, multiplying the primes 2 × 2 × 3 × 3 × 67.
How is 2412 represented in binary and hexadecimal?
2412 converts to 100101101100 in binary and 96C in hexadecimal, which are helpful for computer science applications.
Is 2412 a perfect square, cube, or triangular number?
2412 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2412?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.