3548
3548 is a even composite number that follows 3547 and precedes 3549. It is composed of 6 distinct factors: 1, 2, 4, 887, 1774, 3548. Its prime factorization can be written as 2^2 × 887. 3548 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3548 is represented as 110111011100 in binary and DDC in hexadecimal. Historically, it is written as MMMDXLVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 887) reveals 3 prime building blocks.
Divisible by 2
3548 ends in 8, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
3548 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 20 is not a multiple of 9.
Divisible by 10
3548 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 3548 within several notable number theory sequences:
Timeline
Deep dive
How 3548 breaks down
3548 carries 6 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 2668, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111011100 supports bitwise reasoning, hexadecimal DDC aligns with computing notation, and the Roman numeral MMMDXLVIII keeps the encyclopedic tradition alive. These attributes make 3548 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3548 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3543–3553) to tune search ranges, and educators feature 3548 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 3548 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 3548
Is 3548 a prime number?
3548 is composite with 6 total factors and the prime factorization 2^2 × 887.
What is the prime factorization of 3548?
It breaks down as 2^2 × 887, multiplying the primes 2 × 2 × 887.
How is 3548 represented in binary and hexadecimal?
3548 converts to 110111011100 in binary and DDC in hexadecimal, which are helpful for computer science applications.
Is 3548 a perfect square, cube, or triangular number?
3548 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3548?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.