1421
1421 is a odd composite number that follows 1420 and precedes 1422. It is composed of 6 distinct factors: 1, 7, 29, 49, 203, 1421. Its prime factorization can be written as 7^2 × 29. 1421 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1421 is represented as 10110001101 in binary and 58D in hexadecimal. Historically, it is written as MCDXXI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (7^2 × 29) reveals 3 prime building blocks.
Divisible by 2
1421 ends in 1, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
1421 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 8 is not a multiple of 9.
Divisible by 10
1421 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 1421 within several notable number theory sequences:
Timeline
Deep dive
How 1421 breaks down
1421 carries 6 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 289, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110001101 supports bitwise reasoning, hexadecimal 58D aligns with computing notation, and the Roman numeral MCDXXI keeps the encyclopedic tradition alive. These attributes make 1421 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1421 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1416–1426) to tune search ranges, and educators feature 1421 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1421 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 1421
Is 1421 a prime number?
1421 is composite with 6 total factors and the prime factorization 7^2 × 29.
What is the prime factorization of 1421?
It breaks down as 7^2 × 29, multiplying the primes 7 × 7 × 29.
How is 1421 represented in binary and hexadecimal?
1421 converts to 10110001101 in binary and 58D in hexadecimal, which are helpful for computer science applications.
Is 1421 a perfect square, cube, or triangular number?
1421 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1421?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.