3481
3481 is a odd composite number that follows 3480 and precedes 3482. It is composed of 3 distinct factors: 1, 59, 3481. Its prime factorization can be written as 59^2. 3481 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3481 is represented as 110110011001 in binary and D99 in hexadecimal. Historically, it is written as MMMCDLXXXI in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
3 FactorsProperties
The prime factorization (59^2) reveals 2 prime building blocks.
Divisible by 2
3481 ends in 1, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 81 are not divisible by 4.
Divisible by 5
3481 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
3481 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 3481 within several notable number theory sequences:
Timeline
Deep dive
How 3481 breaks down
3481 carries 3 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 60, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110011001 supports bitwise reasoning, hexadecimal D99 aligns with computing notation, and the Roman numeral MMMCDLXXXI keeps the encyclopedic tradition alive. These attributes make 3481 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3481 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3476–3486) to tune search ranges, and educators feature 3481 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Perfect squares) help historians, numerologists, and trivia writers tie 3481 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 3481
Is 3481 a prime number?
3481 is composite with 3 total factors and the prime factorization 59^2.
What is the prime factorization of 3481?
It breaks down as 59^2, multiplying the primes 59 × 59.
How is 3481 represented in binary and hexadecimal?
3481 converts to 110110011001 in binary and D99 in hexadecimal, which are helpful for computer science applications.
Is 3481 a perfect square, cube, or triangular number?
3481 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3481?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.