74142
74142 is a even composite number that follows 74141 and precedes 74143. It is composed of 16 distinct factors: 1, 2, 3, 6, 9, 18, 27, 54, 1373, 2746, 4119, 8238, 12357, 24714, 37071, 74142. Its prime factorization can be written as 2 × 3^3 × 1373. 74142 is classified as a abundant number based on the sum of its proper divisors. In computer science, 74142 is represented as 10010000110011110 in binary and 1219E in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3^3 × 1373) reveals 5 prime building blocks.
Divisible by 2
74142 ends in 2, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
74142 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
74142 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 74142 within several notable number theory sequences:
Timeline
Deep dive
How 74142 breaks down
74142 carries 16 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 90738, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010000110011110 supports bitwise reasoning, hexadecimal 1219E aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 74142 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 74142 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (74137–74147) to tune search ranges, and educators feature 74142 in worksheets about factor trees. Its binary footprint of length 17 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 74142 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 74142
Is 74142 a prime number?
74142 is composite with 16 total factors and the prime factorization 2 × 3^3 × 1373.
What is the prime factorization of 74142?
It breaks down as 2 × 3^3 × 1373, multiplying the primes 2 × 3 × 3 × 3 × 1373.
How is 74142 represented in binary and hexadecimal?
74142 converts to 10010000110011110 in binary and 1219E in hexadecimal, which are helpful for computer science applications.
Is 74142 a perfect square, cube, or triangular number?
74142 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 74142?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.