4681
4681 is a odd composite number that follows 4680 and precedes 4682. It is composed of 4 distinct factors: 1, 31, 151, 4681. Its prime factorization can be written as 31 × 151. 4681 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4681 is represented as 1001001001001 in binary and 1249 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 151) reveals 2 prime building blocks.
Divisible by 2
4681 ends in 1, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 81 are not divisible by 4.
Divisible by 5
4681 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 19 is not a multiple of 9.
Divisible by 10
4681 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 4681 within several notable number theory sequences:
Timeline
Deep dive
How 4681 breaks down
4681 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 183, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001001001 supports bitwise reasoning, hexadecimal 1249 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4681 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4681 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4676–4686) to tune search ranges, and educators feature 4681 in worksheets about factor trees. Its binary footprint of length 13 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 4681 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 4681
Is 4681 a prime number?
4681 is composite with 4 total factors and the prime factorization 31 × 151.
What is the prime factorization of 4681?
It breaks down as 31 × 151, multiplying the primes 31 × 151.
How is 4681 represented in binary and hexadecimal?
4681 converts to 1001001001001 in binary and 1249 in hexadecimal, which are helpful for computer science applications.
Is 4681 a perfect square, cube, or triangular number?
4681 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4681?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.