2939
2939 is a odd prime number that follows 2938 and precedes 2940. As a prime number, 2939 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2939. 2939 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2939 is represented as 101101111011 in binary and B7B in hexadecimal. Historically, it is written as MMCMXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
2939 is prime, so its only factors are 1 and 2939.
Divisible by 2
2939 ends in 9, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
2939 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 23 is not a multiple of 9.
Divisible by 10
2939 does not end in 0.
Divisible by 11
The alternating digit sum -13 is not a multiple of 11.
Deficient classification and digit analytics place 2939 within several notable number theory sequences:
Timeline
Deep dive
How 2939 breaks down
2939 carries 2 distinct factors and a digit signature of 23 (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 101101111011 supports bitwise reasoning, hexadecimal B7B aligns with computing notation, and the Roman numeral MMCMXXXIX keeps the encyclopedic tradition alive. These attributes make 2939 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2939 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2934–2944) to tune search ranges, and educators feature 2939 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 2939 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 2939
Is 2939 a prime number?
2939 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2939?
2939 is already prime, so the factorization is simply 2939.
How is 2939 represented in binary and hexadecimal?
2939 converts to 101101111011 in binary and B7B in hexadecimal, which are helpful for computer science applications.
Is 2939 a perfect square, cube, or triangular number?
2939 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2939?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.