1471
1471 is a odd prime number that follows 1470 and precedes 1472. As a prime number, 1471 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1471. 1471 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1471 is represented as 10110111111 in binary and 5BF in hexadecimal. Historically, it is written as MCDLXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
1471 is prime, so its only factors are 1 and 1471.
Divisible by 2
1471 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 71 are not divisible by 4.
Divisible by 5
1471 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 13 is not a multiple of 9.
Divisible by 10
1471 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 1471 within several notable number theory sequences:
Timeline
Deep dive
How 1471 breaks down
1471 carries 2 distinct factors and a digit signature of 13 (4 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 10110111111 supports bitwise reasoning, hexadecimal 5BF aligns with computing notation, and the Roman numeral MCDLXXI keeps the encyclopedic tradition alive. These attributes make 1471 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1471 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1466–1476) to tune search ranges, and educators feature 1471 in worksheets about prime identification. Its binary footprint of length 11 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 1471 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 1471
Is 1471 a prime number?
1471 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1471?
1471 is already prime, so the factorization is simply 1471.
How is 1471 represented in binary and hexadecimal?
1471 converts to 10110111111 in binary and 5BF in hexadecimal, which are helpful for computer science applications.
Is 1471 a perfect square, cube, or triangular number?
1471 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1471?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.