481
481 is a odd composite number that follows 480 and precedes 482. It is composed of 4 distinct factors: 1, 13, 37, 481. Its prime factorization can be written as 13 × 37. 481 is classified as a deficient number based on the sum of its proper divisors. In computer science, 481 is represented as 111100001 in binary and 1E1 in hexadecimal. Historically, it is written as CDLXXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 37) reveals 2 prime building blocks.
Divisible by 2
481 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 81 are not divisible by 4.
Divisible by 5
481 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 13 is not a multiple of 9.
Divisible by 10
481 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 481 within several notable number theory sequences:
Timeline
Deep dive
How 481 breaks down
481 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 51, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100001 supports bitwise reasoning, hexadecimal 1E1 aligns with computing notation, and the Roman numeral CDLXXXI keeps the encyclopedic tradition alive. These attributes make 481 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 481 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (476–486) to tune search ranges, and educators feature 481 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 481 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 481
Is 481 a prime number?
481 is composite with 4 total factors and the prime factorization 13 × 37.
What is the prime factorization of 481?
It breaks down as 13 × 37, multiplying the primes 13 × 37.
How is 481 represented in binary and hexadecimal?
481 converts to 111100001 in binary and 1E1 in hexadecimal, which are helpful for computer science applications.
Is 481 a perfect square, cube, or triangular number?
481 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 481?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.