3131
3131 is a odd composite number that follows 3130 and precedes 3132. It is composed of 4 distinct factors: 1, 31, 101, 3131. Its prime factorization can be written as 31 × 101. 3131 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3131 is represented as 110000111011 in binary and C3B in hexadecimal. Historically, it is written as MMMCXXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 101) reveals 2 prime building blocks.
Divisible by 2
3131 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 31 are not divisible by 4.
Divisible by 5
3131 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
3131 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 3131 within several notable number theory sequences:
Timeline
Deep dive
How 3131 breaks down
3131 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 133, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000111011 supports bitwise reasoning, hexadecimal C3B aligns with computing notation, and the Roman numeral MMMCXXXI keeps the encyclopedic tradition alive. These attributes make 3131 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3131 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3126–3136) to tune search ranges, and educators feature 3131 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3131 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 3131
Is 3131 a prime number?
3131 is composite with 4 total factors and the prime factorization 31 × 101.
What is the prime factorization of 3131?
It breaks down as 31 × 101, multiplying the primes 31 × 101.
How is 3131 represented in binary and hexadecimal?
3131 converts to 110000111011 in binary and C3B in hexadecimal, which are helpful for computer science applications.
Is 3131 a perfect square, cube, or triangular number?
3131 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3131?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.