7940
7940 is a even composite number that follows 7939 and precedes 7941. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940. Its prime factorization can be written as 2^2 × 5 × 397. 7940 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7940 is represented as 1111100000100 in binary and 1F04 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 397) reveals 4 prime building blocks.
Divisible by 2
7940 ends in 0, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
7940 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 20 is not a multiple of 9.
Divisible by 10
7940 ends in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 7940 within several notable number theory sequences:
Timeline
Deep dive
How 7940 breaks down
7940 carries 12 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 8776, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111100000100 supports bitwise reasoning, hexadecimal 1F04 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7940 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7940 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7935–7945) to tune search ranges, and educators feature 7940 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 7940 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 7940
Is 7940 a prime number?
7940 is composite with 12 total factors and the prime factorization 2^2 × 5 × 397.
What is the prime factorization of 7940?
It breaks down as 2^2 × 5 × 397, multiplying the primes 2 × 2 × 5 × 397.
How is 7940 represented in binary and hexadecimal?
7940 converts to 1111100000100 in binary and 1F04 in hexadecimal, which are helpful for computer science applications.
Is 7940 a perfect square, cube, or triangular number?
7940 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7940?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.