3947
3947 is a odd prime number that follows 3946 and precedes 3948. As a prime number, 3947 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3947. 3947 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3947 is represented as 111101101011 in binary and F6B in hexadecimal. Historically, it is written as MMMCMXLVII in Roman numerals.
Factor Analysis
2 FactorsProperties
3947 is prime, so its only factors are 1 and 3947.
Divisible by 2
3947 ends in 7, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 47 are not divisible by 4.
Divisible by 5
3947 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 23 is not a multiple of 9.
Divisible by 10
3947 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 3947 within several notable number theory sequences:
Timeline
Deep dive
How 3947 breaks down
3947 carries 2 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101101011 supports bitwise reasoning, hexadecimal F6B aligns with computing notation, and the Roman numeral MMMCMXLVII keeps the encyclopedic tradition alive. These attributes make 3947 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3947 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3942–3952) to tune search ranges, and educators feature 3947 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3947 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 3947
Is 3947 a prime number?
3947 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3947?
3947 is already prime, so the factorization is simply 3947.
How is 3947 represented in binary and hexadecimal?
3947 converts to 111101101011 in binary and F6B in hexadecimal, which are helpful for computer science applications.
Is 3947 a perfect square, cube, or triangular number?
3947 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3947?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.