47
47 is a odd prime number that follows 46 and precedes 48. As a prime number, 47 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 47. 47 is classified as a deficient number based on the sum of its proper divisors. In computer science, 47 is represented as 101111 in binary and 2F in hexadecimal. Historically, it is written as XLVII in Roman numerals.
Factor Analysis
2 FactorsProperties
47 is prime, so its only factors are 1 and 47.
Divisible by 2
47 ends in 7, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 47 are not divisible by 4.
Divisible by 5
47 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 11 is not a multiple of 9.
Divisible by 10
47 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 47 within several notable number theory sequences:
Timeline
Deep dive
How 47 breaks down
47 carries 2 distinct factors and a digit signature of 11 (2 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 101111 supports bitwise reasoning, hexadecimal 2F aligns with computing notation, and the Roman numeral XLVII keeps the encyclopedic tradition alive. These attributes make 47 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 47 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42–52) to tune search ranges, and educators feature 47 in worksheets about prime identification. Its binary footprint of length 6 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 47 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 47
Is 47 a prime number?
47 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 47?
47 is already prime, so the factorization is simply 47.
How is 47 represented in binary and hexadecimal?
47 converts to 101111 in binary and 2F in hexadecimal, which are helpful for computer science applications.
Is 47 a perfect square, cube, or triangular number?
47 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 47?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.