2431
2431 is a odd composite number that follows 2430 and precedes 2432. It is composed of 8 distinct factors: 1, 11, 13, 17, 143, 187, 221, 2431. Its prime factorization can be written as 11 × 13 × 17. 2431 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2431 is represented as 100101111111 in binary and 97F in hexadecimal. Historically, it is written as MMCDXXXI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (11 × 13 × 17) reveals 3 prime building blocks.
Divisible by 2
2431 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
2431 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 10 is not a multiple of 9.
Divisible by 10
2431 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 2431 within several notable number theory sequences:
Timeline
Deep dive
How 2431 breaks down
2431 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 593, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101111111 supports bitwise reasoning, hexadecimal 97F aligns with computing notation, and the Roman numeral MMCDXXXI keeps the encyclopedic tradition alive. These attributes make 2431 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2431 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2426–2436) to tune search ranges, and educators feature 2431 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 2431 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 2431
Is 2431 a prime number?
2431 is composite with 8 total factors and the prime factorization 11 × 13 × 17.
What is the prime factorization of 2431?
It breaks down as 11 × 13 × 17, multiplying the primes 11 × 13 × 17.
How is 2431 represented in binary and hexadecimal?
2431 converts to 100101111111 in binary and 97F in hexadecimal, which are helpful for computer science applications.
Is 2431 a perfect square, cube, or triangular number?
2431 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2431?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.