8401
8401 is a odd composite number that follows 8400 and precedes 8402. It is composed of 4 distinct factors: 1, 31, 271, 8401. Its prime factorization can be written as 31 × 271. 8401 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8401 is represented as 10000011010001 in binary and 20D1 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 271) reveals 2 prime building blocks.
Divisible by 2
8401 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 01 are not divisible by 4.
Divisible by 5
8401 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
8401 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 8401 within several notable number theory sequences:
Timeline
Deep dive
How 8401 breaks down
8401 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 303, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000011010001 supports bitwise reasoning, hexadecimal 20D1 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8401 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8401 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8396–8406) to tune search ranges, and educators feature 8401 in worksheets about factor trees. Its binary footprint of length 14 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 8401 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 8401
Is 8401 a prime number?
8401 is composite with 4 total factors and the prime factorization 31 × 271.
What is the prime factorization of 8401?
It breaks down as 31 × 271, multiplying the primes 31 × 271.
How is 8401 represented in binary and hexadecimal?
8401 converts to 10000011010001 in binary and 20D1 in hexadecimal, which are helpful for computer science applications.
Is 8401 a perfect square, cube, or triangular number?
8401 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8401?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.