4071
4071 is a odd composite number that follows 4070 and precedes 4072. It is composed of 8 distinct factors: 1, 3, 23, 59, 69, 177, 1357, 4071. Its prime factorization can be written as 3 × 23 × 59. 4071 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4071 is represented as 111111100111 in binary and FE7 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 23 × 59) reveals 3 prime building blocks.
Divisible by 2
4071 ends in 1, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 71 are not divisible by 4.
Divisible by 5
4071 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 12 is not a multiple of 9.
Divisible by 10
4071 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 4071 within several notable number theory sequences:
Timeline
Deep dive
How 4071 breaks down
4071 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1689, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111100111 supports bitwise reasoning, hexadecimal FE7 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4071 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4071 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4066–4076) to tune search ranges, and educators feature 4071 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 4071 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 4071
Is 4071 a prime number?
4071 is composite with 8 total factors and the prime factorization 3 × 23 × 59.
What is the prime factorization of 4071?
It breaks down as 3 × 23 × 59, multiplying the primes 3 × 23 × 59.
How is 4071 represented in binary and hexadecimal?
4071 converts to 111111100111 in binary and FE7 in hexadecimal, which are helpful for computer science applications.
Is 4071 a perfect square, cube, or triangular number?
4071 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4071?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.