4047
4047 is a odd composite number that follows 4046 and precedes 4048. It is composed of 8 distinct factors: 1, 3, 19, 57, 71, 213, 1349, 4047. Its prime factorization can be written as 3 × 19 × 71. 4047 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4047 is represented as 111111001111 in binary and FCF in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 19 × 71) reveals 3 prime building blocks.
Divisible by 2
4047 ends in 7, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 47 are not divisible by 4.
Divisible by 5
4047 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 15 is not a multiple of 9.
Divisible by 10
4047 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 4047 within several notable number theory sequences:
Timeline
Deep dive
How 4047 breaks down
4047 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1713, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111001111 supports bitwise reasoning, hexadecimal FCF aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4047 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4047 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4042–4052) to tune search ranges, and educators feature 4047 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 4047 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 4047
Is 4047 a prime number?
4047 is composite with 8 total factors and the prime factorization 3 × 19 × 71.
What is the prime factorization of 4047?
It breaks down as 3 × 19 × 71, multiplying the primes 3 × 19 × 71.
How is 4047 represented in binary and hexadecimal?
4047 converts to 111111001111 in binary and FCF in hexadecimal, which are helpful for computer science applications.
Is 4047 a perfect square, cube, or triangular number?
4047 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4047?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.