940
940 is a even composite number that follows 939 and precedes 941. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. Its prime factorization can be written as 2^2 × 5 × 47. 940 is classified as a abundant number based on the sum of its proper divisors. In computer science, 940 is represented as 1110101100 in binary and 3AC in hexadecimal. Historically, it is written as CMXL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 47) reveals 4 prime building blocks.
Divisible by 2
940 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
940 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 13 is not a multiple of 9.
Divisible by 10
940 ends in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 940 within several notable number theory sequences:
Timeline
Deep dive
How 940 breaks down
940 carries 12 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 1076, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110101100 supports bitwise reasoning, hexadecimal 3AC aligns with computing notation, and the Roman numeral CMXL keeps the encyclopedic tradition alive. These attributes make 940 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 940 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (935–945) to tune search ranges, and educators feature 940 in worksheets about factor trees. Its binary footprint of length 10 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 940 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 940
Is 940 a prime number?
940 is composite with 12 total factors and the prime factorization 2^2 × 5 × 47.
What is the prime factorization of 940?
It breaks down as 2^2 × 5 × 47, multiplying the primes 2 × 2 × 5 × 47.
How is 940 represented in binary and hexadecimal?
940 converts to 1110101100 in binary and 3AC in hexadecimal, which are helpful for computer science applications.
Is 940 a perfect square, cube, or triangular number?
940 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 940?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.