536
536 is a even composite number that follows 535 and precedes 537. It is composed of 8 distinct factors: 1, 2, 4, 8, 67, 134, 268, 536. Its prime factorization can be written as 2^3 × 67. 536 is classified as a deficient number based on the sum of its proper divisors. In computer science, 536 is represented as 1000011000 in binary and 218 in hexadecimal. Historically, it is written as DXXXVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 67) reveals 4 prime building blocks.
Divisible by 2
536 ends in 6, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
536 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 14 is not a multiple of 9.
Divisible by 10
536 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 536 within several notable number theory sequences:
Timeline
Deep dive
How 536 breaks down
536 carries 8 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 484, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000011000 supports bitwise reasoning, hexadecimal 218 aligns with computing notation, and the Roman numeral DXXXVI keeps the encyclopedic tradition alive. These attributes make 536 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 536 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (531–541) to tune search ranges, and educators feature 536 in worksheets about factor trees. Its binary footprint of length 10 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 536 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 536
Is 536 a prime number?
536 is composite with 8 total factors and the prime factorization 2^3 × 67.
What is the prime factorization of 536?
It breaks down as 2^3 × 67, multiplying the primes 2 × 2 × 2 × 67.
How is 536 represented in binary and hexadecimal?
536 converts to 1000011000 in binary and 218 in hexadecimal, which are helpful for computer science applications.
Is 536 a perfect square, cube, or triangular number?
536 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 536?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.