3048
3048 is a even composite number that follows 3047 and precedes 3049. It is composed of 16 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048. Its prime factorization can be written as 2^3 × 3 × 127. 3048 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3048 is represented as 101111101000 in binary and BE8 in hexadecimal. Historically, it is written as MMMXLVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 3 × 127) reveals 5 prime building blocks.
Divisible by 2
3048 ends in 8, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
3048 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
3048 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 3048 within several notable number theory sequences:
Timeline
Deep dive
How 3048 breaks down
3048 carries 16 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 4632, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111101000 supports bitwise reasoning, hexadecimal BE8 aligns with computing notation, and the Roman numeral MMMXLVIII keeps the encyclopedic tradition alive. These attributes make 3048 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3048 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3043–3053) to tune search ranges, and educators feature 3048 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 3048 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 3048
Is 3048 a prime number?
3048 is composite with 16 total factors and the prime factorization 2^3 × 3 × 127.
What is the prime factorization of 3048?
It breaks down as 2^3 × 3 × 127, multiplying the primes 2 × 2 × 2 × 3 × 127.
How is 3048 represented in binary and hexadecimal?
3048 converts to 101111101000 in binary and BE8 in hexadecimal, which are helpful for computer science applications.
Is 3048 a perfect square, cube, or triangular number?
3048 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3048?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.