29
29 is a odd prime number that follows 28 and precedes 30. As a prime number, 29 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 29. 29 is classified as a deficient number based on the sum of its proper divisors. In computer science, 29 is represented as 11101 in binary and 1D in hexadecimal. Historically, it is written as XXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
29 is prime, so its only factors are 1 and 29.
Divisible by 2
29 ends in 9, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 29 are not divisible by 4.
Divisible by 5
29 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 11 is not a multiple of 9.
Divisible by 10
29 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 29 within several notable number theory sequences:
Timeline
Deep dive
How 29 breaks down
29 carries 2 distinct factors and a digit signature of 11 (2 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 11101 supports bitwise reasoning, hexadecimal 1D aligns with computing notation, and the Roman numeral XXIX keeps the encyclopedic tradition alive. These attributes make 29 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 29 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (24–34) to tune search ranges, and educators feature 29 in worksheets about prime identification. Its binary footprint of length 5 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 29 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 29
Is 29 a prime number?
29 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 29?
29 is already prime, so the factorization is simply 29.
How is 29 represented in binary and hexadecimal?
29 converts to 11101 in binary and 1D in hexadecimal, which are helpful for computer science applications.
Is 29 a perfect square, cube, or triangular number?
29 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 29?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.