4878
4878 is a even composite number that follows 4877 and precedes 4879. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878. Its prime factorization can be written as 2 × 3^2 × 271. 4878 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4878 is represented as 1001100001110 in binary and 130E in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 271) reveals 4 prime building blocks.
Divisible by 2
4878 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 78 are not divisible by 4.
Divisible by 5
4878 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
4878 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 4878 within several notable number theory sequences:
Timeline
Deep dive
How 4878 breaks down
4878 carries 12 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 5730, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001100001110 supports bitwise reasoning, hexadecimal 130E aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4878 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4878 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4873–4883) to tune search ranges, and educators feature 4878 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, Abundant numbers) help historians, numerologists, and trivia writers tie 4878 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 4878
Is 4878 a prime number?
4878 is composite with 12 total factors and the prime factorization 2 × 3^2 × 271.
What is the prime factorization of 4878?
It breaks down as 2 × 3^2 × 271, multiplying the primes 2 × 3 × 3 × 271.
How is 4878 represented in binary and hexadecimal?
4878 converts to 1001100001110 in binary and 130E in hexadecimal, which are helpful for computer science applications.
Is 4878 a perfect square, cube, or triangular number?
4878 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4878?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.