140
140 is a even composite number that follows 139 and precedes 141. It is composed of 12 distinct factors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. Its prime factorization can be written as 2^2 × 5 × 7. 140 is classified as a abundant number based on the sum of its proper divisors. In computer science, 140 is represented as 10001100 in binary and 8C in hexadecimal. Historically, it is written as CXL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 7) reveals 4 prime building blocks.
Divisible by 2
140 ends in 0, so it is even.
Divisible by 3
The digit sum 5 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
140 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 5 is not a multiple of 9.
Divisible by 10
140 ends in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 140 within several notable number theory sequences:
Timeline
Deep dive
How 140 breaks down
140 carries 12 distinct factors and a digit signature of 5 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 196, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001100 supports bitwise reasoning, hexadecimal 8C aligns with computing notation, and the Roman numeral CXL keeps the encyclopedic tradition alive. These attributes make 140 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 140 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (135–145) to tune search ranges, and educators feature 140 in worksheets about factor trees. Its binary footprint of length 8 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 140 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 140
Is 140 a prime number?
140 is composite with 12 total factors and the prime factorization 2^2 × 5 × 7.
What is the prime factorization of 140?
It breaks down as 2^2 × 5 × 7, multiplying the primes 2 × 2 × 5 × 7.
How is 140 represented in binary and hexadecimal?
140 converts to 10001100 in binary and 8C in hexadecimal, which are helpful for computer science applications.
Is 140 a perfect square, cube, or triangular number?
140 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 140?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.