502
502 is a even composite number that follows 501 and precedes 503. It is composed of 4 distinct factors: 1, 2, 251, 502. Its prime factorization can be written as 2 × 251. 502 is classified as a deficient number based on the sum of its proper divisors. In computer science, 502 is represented as 111110110 in binary and 1F6 in hexadecimal. Historically, it is written as DII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 251) reveals 2 prime building blocks.
Divisible by 2
502 ends in 2, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
502 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 7 is not a multiple of 9.
Divisible by 10
502 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 502 within several notable number theory sequences:
Timeline
Deep dive
How 502 breaks down
502 carries 4 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 254, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110110 supports bitwise reasoning, hexadecimal 1F6 aligns with computing notation, and the Roman numeral DII keeps the encyclopedic tradition alive. These attributes make 502 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 502 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (497–507) to tune search ranges, and educators feature 502 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 502 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 502
Is 502 a prime number?
502 is composite with 4 total factors and the prime factorization 2 × 251.
What is the prime factorization of 502?
It breaks down as 2 × 251, multiplying the primes 2 × 251.
How is 502 represented in binary and hexadecimal?
502 converts to 111110110 in binary and 1F6 in hexadecimal, which are helpful for computer science applications.
Is 502 a perfect square, cube, or triangular number?
502 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 502?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.