1996
1996 is a even composite number that follows 1995 and precedes 1997. It is composed of 6 distinct factors: 1, 2, 4, 499, 998, 1996. Its prime factorization can be written as 2^2 × 499. 1996 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1996 is represented as 11111001100 in binary and 7CC in hexadecimal. Historically, it is written as MCMXCVI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 499) reveals 3 prime building blocks.
Divisible by 2
1996 ends in 6, so it is even.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
1996 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 25 is not a multiple of 9.
Divisible by 10
1996 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 1996 within several notable number theory sequences:
Timeline
Deep dive
How 1996 breaks down
1996 carries 6 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1504, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111001100 supports bitwise reasoning, hexadecimal 7CC aligns with computing notation, and the Roman numeral MCMXCVI keeps the encyclopedic tradition alive. These attributes make 1996 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1996 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1991–2001) to tune search ranges, and educators feature 1996 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, Deficient numbers) help historians, numerologists, and trivia writers tie 1996 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 1996
Is 1996 a prime number?
1996 is composite with 6 total factors and the prime factorization 2^2 × 499.
What is the prime factorization of 1996?
It breaks down as 2^2 × 499, multiplying the primes 2 × 2 × 499.
How is 1996 represented in binary and hexadecimal?
1996 converts to 11111001100 in binary and 7CC in hexadecimal, which are helpful for computer science applications.
Is 1996 a perfect square, cube, or triangular number?
1996 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1996?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.