59201
59201 is a odd composite number that follows 59200 and precedes 59202. It is composed of 4 distinct factors: 1, 53, 1117, 59201. Its prime factorization can be written as 53 × 1117. 59201 is classified as a deficient number based on the sum of its proper divisors. In computer science, 59201 is represented as 1110011101000001 in binary and E741 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (53 × 1117) reveals 2 prime building blocks.
Divisible by 2
59201 ends in 1, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
59201 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 17 is not a multiple of 9.
Divisible by 10
59201 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 59201 within several notable number theory sequences:
Timeline
Deep dive
How 59201 breaks down
59201 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1171, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110011101000001 supports bitwise reasoning, hexadecimal E741 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 59201 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 59201 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (59196–59206) to tune search ranges, and educators feature 59201 in worksheets about factor trees. Its binary footprint of length 16 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 59201 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 59201
Is 59201 a prime number?
59201 is composite with 4 total factors and the prime factorization 53 × 1117.
What is the prime factorization of 59201?
It breaks down as 53 × 1117, multiplying the primes 53 × 1117.
How is 59201 represented in binary and hexadecimal?
59201 converts to 1110011101000001 in binary and E741 in hexadecimal, which are helpful for computer science applications.
Is 59201 a perfect square, cube, or triangular number?
59201 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 59201?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.