4076
4076 is a even composite number that follows 4075 and precedes 4077. It is composed of 6 distinct factors: 1, 2, 4, 1019, 2038, 4076. Its prime factorization can be written as 2^2 × 1019. 4076 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4076 is represented as 111111101100 in binary and FEC in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 1019) reveals 3 prime building blocks.
Divisible by 2
4076 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
4076 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 17 is not a multiple of 9.
Divisible by 10
4076 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 4076 within several notable number theory sequences:
Timeline
Deep dive
How 4076 breaks down
4076 carries 6 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 3064, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111101100 supports bitwise reasoning, hexadecimal FEC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4076 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4076 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4071–4081) to tune search ranges, and educators feature 4076 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, Deficient numbers) help historians, numerologists, and trivia writers tie 4076 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 4076
Is 4076 a prime number?
4076 is composite with 6 total factors and the prime factorization 2^2 × 1019.
What is the prime factorization of 4076?
It breaks down as 2^2 × 1019, multiplying the primes 2 × 2 × 1019.
How is 4076 represented in binary and hexadecimal?
4076 converts to 111111101100 in binary and FEC in hexadecimal, which are helpful for computer science applications.
Is 4076 a perfect square, cube, or triangular number?
4076 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4076?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.