496
496 is a even composite number that follows 495 and precedes 497. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. Its prime factorization can be written as 2^4 × 31. 496 is classified as a perfect number based on the sum of its proper divisors. In computer science, 496 is represented as 111110000 in binary and 1F0 in hexadecimal. Historically, it is written as CDXCVI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 31) reveals 5 prime building blocks.
Divisible by 2
496 ends in 6, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
496 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
496 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Perfect classification and digit analytics place 496 within several notable number theory sequences:
Timeline
Deep dive
How 496 breaks down
496 carries 10 distinct factors and a digit signature of 19 (1 as the digital root). The perfect classification indicates that its proper divisors sum to the number itself, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110000 supports bitwise reasoning, hexadecimal 1F0 aligns with computing notation, and the Roman numeral CDXCVI keeps the encyclopedic tradition alive. These attributes make 496 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 496 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (491–501) to tune search ranges, and educators feature 496 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, Perfect numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 496 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 496
Is 496 a prime number?
496 is composite with 10 total factors and the prime factorization 2^4 × 31.
What is the prime factorization of 496?
It breaks down as 2^4 × 31, multiplying the primes 2 × 2 × 2 × 2 × 31.
How is 496 represented in binary and hexadecimal?
496 converts to 111110000 in binary and 1F0 in hexadecimal, which are helpful for computer science applications.
Is 496 a perfect square, cube, or triangular number?
496 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 496?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.