3121
3121 is a odd prime number that follows 3120 and precedes 3122. As a prime number, 3121 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3121. 3121 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3121 is represented as 110000110001 in binary and C31 in hexadecimal. Historically, it is written as MMMCXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
3121 is prime, so its only factors are 1 and 3121.
Divisible by 2
3121 ends in 1, so it is odd.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
3121 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 7 is not a multiple of 9.
Divisible by 10
3121 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 3121 within several notable number theory sequences:
Timeline
Deep dive
How 3121 breaks down
3121 carries 2 distinct factors and a digit signature of 7 (7 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 110000110001 supports bitwise reasoning, hexadecimal C31 aligns with computing notation, and the Roman numeral MMMCXXI keeps the encyclopedic tradition alive. These attributes make 3121 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3121 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3116–3126) to tune search ranges, and educators feature 3121 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3121 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 3121
Is 3121 a prime number?
3121 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3121?
3121 is already prime, so the factorization is simply 3121.
How is 3121 represented in binary and hexadecimal?
3121 converts to 110000110001 in binary and C31 in hexadecimal, which are helpful for computer science applications.
Is 3121 a perfect square, cube, or triangular number?
3121 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3121?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.