131
131 is a odd prime number that follows 130 and precedes 132. As a prime number, 131 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 131. 131 is classified as a deficient number based on the sum of its proper divisors. In computer science, 131 is represented as 10000011 in binary and 83 in hexadecimal. Historically, it is written as CXXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
131 is prime, so its only factors are 1 and 131.
Divisible by 2
131 ends in 1, so it is odd.
Divisible by 3
The digit sum 5 is not a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
131 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 5 is not a multiple of 9.
Divisible by 10
131 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 131 within several notable number theory sequences:
Timeline
Deep dive
How 131 breaks down
131 carries 2 distinct factors and a digit signature of 5 (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 10000011 supports bitwise reasoning, hexadecimal 83 aligns with computing notation, and the Roman numeral CXXXI keeps the encyclopedic tradition alive. These attributes make 131 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 131 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (126–136) to tune search ranges, and educators feature 131 in worksheets about prime identification. Its binary footprint of length 8 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 131 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 131
Is 131 a prime number?
131 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 131?
131 is already prime, so the factorization is simply 131.
How is 131 represented in binary and hexadecimal?
131 converts to 10000011 in binary and 83 in hexadecimal, which are helpful for computer science applications.
Is 131 a perfect square, cube, or triangular number?
131 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 131?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.