429
429 is a odd composite number that follows 428 and precedes 430. It is composed of 8 distinct factors: 1, 3, 11, 13, 33, 39, 143, 429. Its prime factorization can be written as 3 × 11 × 13. 429 is classified as a deficient number based on the sum of its proper divisors. In computer science, 429 is represented as 110101101 in binary and 1AD in hexadecimal. Historically, it is written as CDXXIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 11 × 13) reveals 3 prime building blocks.
Divisible by 2
429 ends in 9, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 29 are not divisible by 4.
Divisible by 5
429 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 15 is not a multiple of 9.
Divisible by 10
429 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 429 within several notable number theory sequences:
Timeline
Deep dive
How 429 breaks down
429 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 243, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101101 supports bitwise reasoning, hexadecimal 1AD aligns with computing notation, and the Roman numeral CDXXIX keeps the encyclopedic tradition alive. These attributes make 429 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 429 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (424–434) to tune search ranges, and educators feature 429 in worksheets about factor trees. Its binary footprint of length 9 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 429 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 429
Is 429 a prime number?
429 is composite with 8 total factors and the prime factorization 3 × 11 × 13.
What is the prime factorization of 429?
It breaks down as 3 × 11 × 13, multiplying the primes 3 × 11 × 13.
How is 429 represented in binary and hexadecimal?
429 converts to 110101101 in binary and 1AD in hexadecimal, which are helpful for computer science applications.
Is 429 a perfect square, cube, or triangular number?
429 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 429?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.