2541
2541 is a odd composite number that follows 2540 and precedes 2542. It is composed of 12 distinct factors: 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541. Its prime factorization can be written as 3 × 7 × 11^2. 2541 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2541 is represented as 100111101101 in binary and 9ED in hexadecimal. Historically, it is written as MMDXLI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 7 × 11^2) reveals 4 prime building blocks.
Divisible by 2
2541 ends in 1, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
2541 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 12 is not a multiple of 9.
Divisible by 10
2541 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 2541 within several notable number theory sequences:
Timeline
Deep dive
How 2541 breaks down
2541 carries 12 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1715, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111101101 supports bitwise reasoning, hexadecimal 9ED aligns with computing notation, and the Roman numeral MMDXLI keeps the encyclopedic tradition alive. These attributes make 2541 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2541 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2536–2546) to tune search ranges, and educators feature 2541 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 2541 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 2541
Is 2541 a prime number?
2541 is composite with 12 total factors and the prime factorization 3 × 7 × 11^2.
What is the prime factorization of 2541?
It breaks down as 3 × 7 × 11^2, multiplying the primes 3 × 7 × 11 × 11.
How is 2541 represented in binary and hexadecimal?
2541 converts to 100111101101 in binary and 9ED in hexadecimal, which are helpful for computer science applications.
Is 2541 a perfect square, cube, or triangular number?
2541 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2541?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.