6136
6136 is a even composite number that follows 6135 and precedes 6137. It is composed of 16 distinct factors: 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136. Its prime factorization can be written as 2^3 × 13 × 59. 6136 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6136 is represented as 1011111111000 in binary and 17F8 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 13 × 59) reveals 5 prime building blocks.
Divisible by 2
6136 ends in 6, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
6136 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 16 is not a multiple of 9.
Divisible by 10
6136 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 6136 within several notable number theory sequences:
Timeline
Deep dive
How 6136 breaks down
6136 carries 16 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 6464, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011111111000 supports bitwise reasoning, hexadecimal 17F8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6136 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6136 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6131–6141) to tune search ranges, and educators feature 6136 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, Abundant numbers) help historians, numerologists, and trivia writers tie 6136 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 6136
Is 6136 a prime number?
6136 is composite with 16 total factors and the prime factorization 2^3 × 13 × 59.
What is the prime factorization of 6136?
It breaks down as 2^3 × 13 × 59, multiplying the primes 2 × 2 × 2 × 13 × 59.
How is 6136 represented in binary and hexadecimal?
6136 converts to 1011111111000 in binary and 17F8 in hexadecimal, which are helpful for computer science applications.
Is 6136 a perfect square, cube, or triangular number?
6136 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6136?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.