8048
8048 is a even composite number that follows 8047 and precedes 8049. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048. Its prime factorization can be written as 2^4 × 503. 8048 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8048 is represented as 1111101110000 in binary and 1F70 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 503) reveals 5 prime building blocks.
Divisible by 2
8048 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
8048 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
8048 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 8048 within several notable number theory sequences:
Timeline
Deep dive
How 8048 breaks down
8048 carries 10 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 7576, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101110000 supports bitwise reasoning, hexadecimal 1F70 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8048 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8048 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8043–8053) to tune search ranges, and educators feature 8048 in worksheets about factor trees. Its binary footprint of length 13 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 8048 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 8048
Is 8048 a prime number?
8048 is composite with 10 total factors and the prime factorization 2^4 × 503.
What is the prime factorization of 8048?
It breaks down as 2^4 × 503, multiplying the primes 2 × 2 × 2 × 2 × 503.
How is 8048 represented in binary and hexadecimal?
8048 converts to 1111101110000 in binary and 1F70 in hexadecimal, which are helpful for computer science applications.
Is 8048 a perfect square, cube, or triangular number?
8048 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8048?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.