4056
4056 is a even composite number that follows 4055 and precedes 4057. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056. Its prime factorization can be written as 2^3 × 3 × 13^2. 4056 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4056 is represented as 111111011000 in binary and FD8 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^3 × 3 × 13^2) reveals 6 prime building blocks.
Divisible by 2
4056 ends in 6, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 56 form a multiple of 4.
Divisible by 5
4056 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
4056 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 4056 within several notable number theory sequences:
Timeline
Deep dive
How 4056 breaks down
4056 carries 24 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 6924, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111011000 supports bitwise reasoning, hexadecimal FD8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4056 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4056 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4051–4061) to tune search ranges, and educators feature 4056 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 4056 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 4056
Is 4056 a prime number?
4056 is composite with 24 total factors and the prime factorization 2^3 × 3 × 13^2.
What is the prime factorization of 4056?
It breaks down as 2^3 × 3 × 13^2, multiplying the primes 2 × 2 × 2 × 3 × 13 × 13.
How is 4056 represented in binary and hexadecimal?
4056 converts to 111111011000 in binary and FD8 in hexadecimal, which are helpful for computer science applications.
Is 4056 a perfect square, cube, or triangular number?
4056 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4056?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.