7201
7201 is a odd composite number that follows 7200 and precedes 7202. It is composed of 4 distinct factors: 1, 19, 379, 7201. Its prime factorization can be written as 19 × 379. 7201 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7201 is represented as 1110000100001 in binary and 1C21 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 379) reveals 2 prime building blocks.
Divisible by 2
7201 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
7201 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 10 is not a multiple of 9.
Divisible by 10
7201 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 7201 within several notable number theory sequences:
Timeline
Deep dive
How 7201 breaks down
7201 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 399, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110000100001 supports bitwise reasoning, hexadecimal 1C21 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7201 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7201 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7196–7206) to tune search ranges, and educators feature 7201 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 7201 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 7201
Is 7201 a prime number?
7201 is composite with 4 total factors and the prime factorization 19 × 379.
What is the prime factorization of 7201?
It breaks down as 19 × 379, multiplying the primes 19 × 379.
How is 7201 represented in binary and hexadecimal?
7201 converts to 1110000100001 in binary and 1C21 in hexadecimal, which are helpful for computer science applications.
Is 7201 a perfect square, cube, or triangular number?
7201 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7201?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.