2548
2548 is a even composite number that follows 2547 and precedes 2549. It is composed of 18 distinct factors: 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548. Its prime factorization can be written as 2^2 × 7^2 × 13. 2548 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2548 is represented as 100111110100 in binary and 9F4 in hexadecimal. Historically, it is written as MMDXLVIII in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 7^2 × 13) reveals 5 prime building blocks.
Divisible by 2
2548 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
2548 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 19 is not a multiple of 9.
Divisible by 10
2548 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 2548 within several notable number theory sequences:
Timeline
Deep dive
How 2548 breaks down
2548 carries 18 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 3038, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111110100 supports bitwise reasoning, hexadecimal 9F4 aligns with computing notation, and the Roman numeral MMDXLVIII keeps the encyclopedic tradition alive. These attributes make 2548 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2548 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2543–2553) to tune search ranges, and educators feature 2548 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 2548 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 2548
Is 2548 a prime number?
2548 is composite with 18 total factors and the prime factorization 2^2 × 7^2 × 13.
What is the prime factorization of 2548?
It breaks down as 2^2 × 7^2 × 13, multiplying the primes 2 × 2 × 7 × 7 × 13.
How is 2548 represented in binary and hexadecimal?
2548 converts to 100111110100 in binary and 9F4 in hexadecimal, which are helpful for computer science applications.
Is 2548 a perfect square, cube, or triangular number?
2548 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2548?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.