1441
1441 is a odd composite number that follows 1440 and precedes 1442. It is composed of 4 distinct factors: 1, 11, 131, 1441. Its prime factorization can be written as 11 × 131. 1441 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1441 is represented as 10110100001 in binary and 5A1 in hexadecimal. Historically, it is written as MCDXLI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 131) reveals 2 prime building blocks.
Divisible by 2
1441 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
1441 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 10 is not a multiple of 9.
Divisible by 10
1441 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 1441 within several notable number theory sequences:
Timeline
Deep dive
How 1441 breaks down
1441 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 143, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110100001 supports bitwise reasoning, hexadecimal 5A1 aligns with computing notation, and the Roman numeral MCDXLI keeps the encyclopedic tradition alive. These attributes make 1441 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1441 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1436–1446) to tune search ranges, and educators feature 1441 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 1441 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 1441
Is 1441 a prime number?
1441 is composite with 4 total factors and the prime factorization 11 × 131.
What is the prime factorization of 1441?
It breaks down as 11 × 131, multiplying the primes 11 × 131.
How is 1441 represented in binary and hexadecimal?
1441 converts to 10110100001 in binary and 5A1 in hexadecimal, which are helpful for computer science applications.
Is 1441 a perfect square, cube, or triangular number?
1441 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1441?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.