3047
3047 is a odd composite number that follows 3046 and precedes 3048. It is composed of 4 distinct factors: 1, 11, 277, 3047. Its prime factorization can be written as 11 × 277. 3047 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3047 is represented as 101111100111 in binary and BE7 in hexadecimal. Historically, it is written as MMMXLVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 277) reveals 2 prime building blocks.
Divisible by 2
3047 ends in 7, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 47 are not divisible by 4.
Divisible by 5
3047 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 14 is not a multiple of 9.
Divisible by 10
3047 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3047 within several notable number theory sequences:
Timeline
Deep dive
How 3047 breaks down
3047 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 289, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111100111 supports bitwise reasoning, hexadecimal BE7 aligns with computing notation, and the Roman numeral MMMXLVII keeps the encyclopedic tradition alive. These attributes make 3047 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3047 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3042–3052) to tune search ranges, and educators feature 3047 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 3047 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 3047
Is 3047 a prime number?
3047 is composite with 4 total factors and the prime factorization 11 × 277.
What is the prime factorization of 3047?
It breaks down as 11 × 277, multiplying the primes 11 × 277.
How is 3047 represented in binary and hexadecimal?
3047 converts to 101111100111 in binary and BE7 in hexadecimal, which are helpful for computer science applications.
Is 3047 a perfect square, cube, or triangular number?
3047 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3047?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.