7900
7900 is a even composite number that follows 7899 and precedes 7901. It is composed of 18 distinct factors: 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900. Its prime factorization can be written as 2^2 × 5^2 × 79. 7900 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7900 is represented as 1111011011100 in binary and 1EDC in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 5^2 × 79) reveals 5 prime building blocks.
Divisible by 2
7900 ends in 0, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
7900 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 16 is not a multiple of 9.
Divisible by 10
7900 ends in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 7900 within several notable number theory sequences:
Timeline
Deep dive
How 7900 breaks down
7900 carries 18 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 9460, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111011011100 supports bitwise reasoning, hexadecimal 1EDC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7900 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7900 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7895–7905) to tune search ranges, and educators feature 7900 in worksheets about factor trees. Its binary footprint of length 13 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 7900 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 7900
Is 7900 a prime number?
7900 is composite with 18 total factors and the prime factorization 2^2 × 5^2 × 79.
What is the prime factorization of 7900?
It breaks down as 2^2 × 5^2 × 79, multiplying the primes 2 × 2 × 5 × 5 × 79.
How is 7900 represented in binary and hexadecimal?
7900 converts to 1111011011100 in binary and 1EDC in hexadecimal, which are helpful for computer science applications.
Is 7900 a perfect square, cube, or triangular number?
7900 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7900?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.