2427
2427 is a odd composite number that follows 2426 and precedes 2428. It is composed of 4 distinct factors: 1, 3, 809, 2427. Its prime factorization can be written as 3 × 809. 2427 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2427 is represented as 100101111011 in binary and 97B in hexadecimal. Historically, it is written as MMCDXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 809) reveals 2 prime building blocks.
Divisible by 2
2427 ends in 7, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 27 are not divisible by 4.
Divisible by 5
2427 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
2427 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 2427 within several notable number theory sequences:
Timeline
Deep dive
How 2427 breaks down
2427 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 813, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101111011 supports bitwise reasoning, hexadecimal 97B aligns with computing notation, and the Roman numeral MMCDXXVII keeps the encyclopedic tradition alive. These attributes make 2427 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2427 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2422–2432) to tune search ranges, and educators feature 2427 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, Deficient numbers) help historians, numerologists, and trivia writers tie 2427 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 2427
Is 2427 a prime number?
2427 is composite with 4 total factors and the prime factorization 3 × 809.
What is the prime factorization of 2427?
It breaks down as 3 × 809, multiplying the primes 3 × 809.
How is 2427 represented in binary and hexadecimal?
2427 converts to 100101111011 in binary and 97B in hexadecimal, which are helpful for computer science applications.
Is 2427 a perfect square, cube, or triangular number?
2427 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2427?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.