59241
59241 is a odd composite number that follows 59240 and precedes 59242. It is composed of 24 distinct factors: 1, 3, 7, 13, 21, 31, 39, 49, 91, 93, 147, 217, 273, 403, 637, 651, 1209, 1519, 1911, 2821, 4557, 8463, 19747, 59241. Its prime factorization can be written as 3 × 7^2 × 13 × 31. 59241 is classified as a deficient number based on the sum of its proper divisors. In computer science, 59241 is represented as 1110011101101001 in binary and E769 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (3 × 7^2 × 13 × 31) reveals 5 prime building blocks.
Divisible by 2
59241 ends in 1, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
59241 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 21 is not a multiple of 9.
Divisible by 10
59241 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 59241 within several notable number theory sequences:
Timeline
Deep dive
How 59241 breaks down
59241 carries 24 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 42903, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110011101101001 supports bitwise reasoning, hexadecimal E769 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 59241 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 59241 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (59236–59246) to tune search ranges, and educators feature 59241 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 59241 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 59241
Is 59241 a prime number?
59241 is composite with 24 total factors and the prime factorization 3 × 7^2 × 13 × 31.
What is the prime factorization of 59241?
It breaks down as 3 × 7^2 × 13 × 31, multiplying the primes 3 × 7 × 7 × 13 × 31.
How is 59241 represented in binary and hexadecimal?
59241 converts to 1110011101101001 in binary and E769 in hexadecimal, which are helpful for computer science applications.
Is 59241 a perfect square, cube, or triangular number?
59241 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 59241?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.