83
83 is a odd prime number that follows 82 and precedes 84. As a prime number, 83 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 83. 83 is classified as a deficient number based on the sum of its proper divisors. In computer science, 83 is represented as 1010011 in binary and 53 in hexadecimal. Historically, it is written as LXXXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
83 is prime, so its only factors are 1 and 83.
Divisible by 2
83 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 83 are not divisible by 4.
Divisible by 5
83 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
83 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 83 within several notable number theory sequences:
Timeline
Deep dive
How 83 breaks down
83 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 1010011 supports bitwise reasoning, hexadecimal 53 aligns with computing notation, and the Roman numeral LXXXIII keeps the encyclopedic tradition alive. These attributes make 83 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 83 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (78–88) to tune search ranges, and educators feature 83 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 83 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 83
Is 83 a prime number?
83 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 83?
83 is already prime, so the factorization is simply 83.
How is 83 represented in binary and hexadecimal?
83 converts to 1010011 in binary and 53 in hexadecimal, which are helpful for computer science applications.
Is 83 a perfect square, cube, or triangular number?
83 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 83?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.