71
71 is a odd prime number that follows 70 and precedes 72. As a prime number, 71 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 71. 71 is classified as a deficient number based on the sum of its proper divisors. In computer science, 71 is represented as 1000111 in binary and 47 in hexadecimal. Historically, it is written as LXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
71 is prime, so its only factors are 1 and 71.
Divisible by 2
71 ends in 1, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 71 are not divisible by 4.
Divisible by 5
71 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 8 is not a multiple of 9.
Divisible by 10
71 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 71 within several notable number theory sequences:
Timeline
Deep dive
How 71 breaks down
71 carries 2 distinct factors and a digit signature of 8 (8 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 1000111 supports bitwise reasoning, hexadecimal 47 aligns with computing notation, and the Roman numeral LXXI keeps the encyclopedic tradition alive. These attributes make 71 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 71 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (66–76) to tune search ranges, and educators feature 71 in worksheets about prime identification. Its binary footprint of length 7 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 71 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 71
Is 71 a prime number?
71 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 71?
71 is already prime, so the factorization is simply 71.
How is 71 represented in binary and hexadecimal?
71 converts to 1000111 in binary and 47 in hexadecimal, which are helpful for computer science applications.
Is 71 a perfect square, cube, or triangular number?
71 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 71?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.