8137
8137 is a odd composite number that follows 8136 and precedes 8138. It is composed of 4 distinct factors: 1, 79, 103, 8137. Its prime factorization can be written as 79 × 103. 8137 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8137 is represented as 1111111001001 in binary and 1FC9 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (79 × 103) reveals 2 prime building blocks.
Divisible by 2
8137 ends in 7, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 37 are not divisible by 4.
Divisible by 5
8137 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 19 is not a multiple of 9.
Divisible by 10
8137 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 8137 within several notable number theory sequences:
Timeline
Deep dive
How 8137 breaks down
8137 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 183, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111111001001 supports bitwise reasoning, hexadecimal 1FC9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8137 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8137 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8132–8142) to tune search ranges, and educators feature 8137 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 8137 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 8137
Is 8137 a prime number?
8137 is composite with 4 total factors and the prime factorization 79 × 103.
What is the prime factorization of 8137?
It breaks down as 79 × 103, multiplying the primes 79 × 103.
How is 8137 represented in binary and hexadecimal?
8137 converts to 1111111001001 in binary and 1FC9 in hexadecimal, which are helpful for computer science applications.
Is 8137 a perfect square, cube, or triangular number?
8137 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8137?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.