1429
1429 is a odd prime number that follows 1428 and precedes 1430. As a prime number, 1429 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1429. 1429 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1429 is represented as 10110010101 in binary and 595 in hexadecimal. Historically, it is written as MCDXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
1429 is prime, so its only factors are 1 and 1429.
Divisible by 2
1429 ends in 9, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 29 are not divisible by 4.
Divisible by 5
1429 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 16 is not a multiple of 9.
Divisible by 10
1429 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Deficient classification and digit analytics place 1429 within several notable number theory sequences:
Timeline
Deep dive
How 1429 breaks down
1429 carries 2 distinct factors and a digit signature of 16 (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 10110010101 supports bitwise reasoning, hexadecimal 595 aligns with computing notation, and the Roman numeral MCDXXIX keeps the encyclopedic tradition alive. These attributes make 1429 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1429 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1424–1434) to tune search ranges, and educators feature 1429 in worksheets about prime identification. Its binary footprint of length 11 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 1429 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 1429
Is 1429 a prime number?
1429 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1429?
1429 is already prime, so the factorization is simply 1429.
How is 1429 represented in binary and hexadecimal?
1429 converts to 10110010101 in binary and 595 in hexadecimal, which are helpful for computer science applications.
Is 1429 a perfect square, cube, or triangular number?
1429 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1429?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.