506
506 is a even composite number that follows 505 and precedes 507. It is composed of 8 distinct factors: 1, 2, 11, 22, 23, 46, 253, 506. Its prime factorization can be written as 2 × 11 × 23. 506 is classified as a deficient number based on the sum of its proper divisors. In computer science, 506 is represented as 111111010 in binary and 1FA in hexadecimal. Historically, it is written as DVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 11 × 23) reveals 3 prime building blocks.
Divisible by 2
506 ends in 6, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 06 are not divisible by 4.
Divisible by 5
506 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 11 is not a multiple of 9.
Divisible by 10
506 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 506 within several notable number theory sequences:
Timeline
Deep dive
How 506 breaks down
506 carries 8 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 358, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111010 supports bitwise reasoning, hexadecimal 1FA aligns with computing notation, and the Roman numeral DVI keeps the encyclopedic tradition alive. These attributes make 506 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 506 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (501–511) to tune search ranges, and educators feature 506 in worksheets about factor trees. Its binary footprint of length 9 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 506 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 506
Is 506 a prime number?
506 is composite with 8 total factors and the prime factorization 2 × 11 × 23.
What is the prime factorization of 506?
It breaks down as 2 × 11 × 23, multiplying the primes 2 × 11 × 23.
How is 506 represented in binary and hexadecimal?
506 converts to 111111010 in binary and 1FA in hexadecimal, which are helpful for computer science applications.
Is 506 a perfect square, cube, or triangular number?
506 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 506?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.