3929
3929 is a odd prime number that follows 3928 and precedes 3930. As a prime number, 3929 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3929. 3929 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3929 is represented as 111101011001 in binary and F59 in hexadecimal. Historically, it is written as MMMCMXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
3929 is prime, so its only factors are 1 and 3929.
Divisible by 2
3929 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 29 are not divisible by 4.
Divisible by 5
3929 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
3929 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 3929 within several notable number theory sequences:
Timeline
Deep dive
How 3929 breaks down
3929 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 111101011001 supports bitwise reasoning, hexadecimal F59 aligns with computing notation, and the Roman numeral MMMCMXXIX keeps the encyclopedic tradition alive. These attributes make 3929 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3929 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3924–3934) to tune search ranges, and educators feature 3929 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 3929 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 3929
Is 3929 a prime number?
3929 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3929?
3929 is already prime, so the factorization is simply 3929.
How is 3929 represented in binary and hexadecimal?
3929 converts to 111101011001 in binary and F59 in hexadecimal, which are helpful for computer science applications.
Is 3929 a perfect square, cube, or triangular number?
3929 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3929?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.