1496
1496 is a even composite number that follows 1495 and precedes 1497. It is composed of 16 distinct factors: 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. Its prime factorization can be written as 2^3 × 11 × 17. 1496 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1496 is represented as 10111011000 in binary and 5D8 in hexadecimal. Historically, it is written as MCDXCVI in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 11 × 17) reveals 5 prime building blocks.
Divisible by 2
1496 ends in 6, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
1496 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 20 is not a multiple of 9.
Divisible by 10
1496 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 1496 within several notable number theory sequences:
Timeline
Deep dive
How 1496 breaks down
1496 carries 16 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 1744, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111011000 supports bitwise reasoning, hexadecimal 5D8 aligns with computing notation, and the Roman numeral MCDXCVI keeps the encyclopedic tradition alive. These attributes make 1496 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1496 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1491–1501) to tune search ranges, and educators feature 1496 in worksheets about factor trees. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 1496 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 1496
Is 1496 a prime number?
1496 is composite with 16 total factors and the prime factorization 2^3 × 11 × 17.
What is the prime factorization of 1496?
It breaks down as 2^3 × 11 × 17, multiplying the primes 2 × 2 × 2 × 11 × 17.
How is 1496 represented in binary and hexadecimal?
1496 converts to 10111011000 in binary and 5D8 in hexadecimal, which are helpful for computer science applications.
Is 1496 a perfect square, cube, or triangular number?
1496 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1496?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.