7144
7144 is a even composite number that follows 7143 and precedes 7145. It is composed of 16 distinct factors: 1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144. Its prime factorization can be written as 2^3 × 19 × 47. 7144 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7144 is represented as 1101111101000 in binary and 1BE8 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 19 × 47) reveals 5 prime building blocks.
Divisible by 2
7144 ends in 4, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
7144 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 16 is not a multiple of 9.
Divisible by 10
7144 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 7144 within several notable number theory sequences:
Timeline
Deep dive
How 7144 breaks down
7144 carries 16 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 7256, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101111101000 supports bitwise reasoning, hexadecimal 1BE8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7144 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7144 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7139–7149) to tune search ranges, and educators feature 7144 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 7144 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 7144
Is 7144 a prime number?
7144 is composite with 16 total factors and the prime factorization 2^3 × 19 × 47.
What is the prime factorization of 7144?
It breaks down as 2^3 × 19 × 47, multiplying the primes 2 × 2 × 2 × 19 × 47.
How is 7144 represented in binary and hexadecimal?
7144 converts to 1101111101000 in binary and 1BE8 in hexadecimal, which are helpful for computer science applications.
Is 7144 a perfect square, cube, or triangular number?
7144 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7144?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.