2436
2436 is a even composite number that follows 2435 and precedes 2437. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436. Its prime factorization can be written as 2^2 × 3 × 7 × 29. 2436 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2436 is represented as 100110000100 in binary and 984 in hexadecimal. Historically, it is written as MMCDXXXVI in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 7 × 29) reveals 5 prime building blocks.
Divisible by 2
2436 ends in 6, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
2436 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 15 is not a multiple of 9.
Divisible by 10
2436 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 2436 within several notable number theory sequences:
Timeline
Deep dive
How 2436 breaks down
2436 carries 24 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 4284, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110000100 supports bitwise reasoning, hexadecimal 984 aligns with computing notation, and the Roman numeral MMCDXXXVI keeps the encyclopedic tradition alive. These attributes make 2436 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2436 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2431–2441) to tune search ranges, and educators feature 2436 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 2436 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 2436
Is 2436 a prime number?
2436 is composite with 24 total factors and the prime factorization 2^2 × 3 × 7 × 29.
What is the prime factorization of 2436?
It breaks down as 2^2 × 3 × 7 × 29, multiplying the primes 2 × 2 × 3 × 7 × 29.
How is 2436 represented in binary and hexadecimal?
2436 converts to 100110000100 in binary and 984 in hexadecimal, which are helpful for computer science applications.
Is 2436 a perfect square, cube, or triangular number?
2436 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2436?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.