42948
42948 is a even composite number that follows 42947 and precedes 42949. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 1193, 2386, 3579, 4772, 7158, 10737, 14316, 21474, 42948. Its prime factorization can be written as 2^2 × 3^2 × 1193. 42948 is classified as a abundant number based on the sum of its proper divisors. In computer science, 42948 is represented as 1010011111000100 in binary and A7C4 in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 1193) reveals 5 prime building blocks.
Divisible by 2
42948 ends in 8, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
42948 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 27 is a multiple of 9.
Divisible by 10
42948 does not end in 0.
Divisible by 11
The alternating digit sum 15 is not a multiple of 11.
Abundant classification and digit analytics place 42948 within several notable number theory sequences:
Timeline
Deep dive
How 42948 breaks down
42948 carries 18 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 65706, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011111000100 supports bitwise reasoning, hexadecimal A7C4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 42948 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 42948 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42943–42953) to tune search ranges, and educators feature 42948 in worksheets about factor trees. Its binary footprint of length 16 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 42948 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 42948
Is 42948 a prime number?
42948 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 1193.
What is the prime factorization of 42948?
It breaks down as 2^2 × 3^2 × 1193, multiplying the primes 2 × 2 × 3 × 3 × 1193.
How is 42948 represented in binary and hexadecimal?
42948 converts to 1010011111000100 in binary and A7C4 in hexadecimal, which are helpful for computer science applications.
Is 42948 a perfect square, cube, or triangular number?
42948 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 42948?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.