136
136 is a even composite number that follows 135 and precedes 137. It is composed of 8 distinct factors: 1, 2, 4, 8, 17, 34, 68, 136. Its prime factorization can be written as 2^3 × 17. 136 is classified as a deficient number based on the sum of its proper divisors. In computer science, 136 is represented as 10001000 in binary and 88 in hexadecimal. Historically, it is written as CXXXVI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 17) reveals 4 prime building blocks.
Divisible by 2
136 ends in 6, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
136 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
136 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 136 within several notable number theory sequences:
Timeline
Deep dive
How 136 breaks down
136 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 134, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001000 supports bitwise reasoning, hexadecimal 88 aligns with computing notation, and the Roman numeral CXXXVI keeps the encyclopedic tradition alive. These attributes make 136 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 136 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (131–141) to tune search ranges, and educators feature 136 in worksheets about factor trees. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 136 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 136
Is 136 a prime number?
136 is composite with 8 total factors and the prime factorization 2^3 × 17.
What is the prime factorization of 136?
It breaks down as 2^3 × 17, multiplying the primes 2 × 2 × 2 × 17.
How is 136 represented in binary and hexadecimal?
136 converts to 10001000 in binary and 88 in hexadecimal, which are helpful for computer science applications.
Is 136 a perfect square, cube, or triangular number?
136 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 136?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.