4201
4201 is a odd prime number that follows 4200 and precedes 4202. As a prime number, 4201 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4201. 4201 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4201 is represented as 1000001101001 in binary and 1069 in hexadecimal.
Factor Analysis
2 FactorsProperties
4201 is prime, so its only factors are 1 and 4201.
Divisible by 2
4201 ends in 1, so it is odd.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
4201 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 7 is not a multiple of 9.
Divisible by 10
4201 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 4201 within several notable number theory sequences:
Timeline
Deep dive
How 4201 breaks down
4201 carries 2 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001101001 supports bitwise reasoning, hexadecimal 1069 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4201 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4201 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4196–4206) to tune search ranges, and educators feature 4201 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 4201 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 4201
Is 4201 a prime number?
4201 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4201?
4201 is already prime, so the factorization is simply 4201.
How is 4201 represented in binary and hexadecimal?
4201 converts to 1000001101001 in binary and 1069 in hexadecimal, which are helpful for computer science applications.
Is 4201 a perfect square, cube, or triangular number?
4201 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4201?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.