474
474 is a even composite number that follows 473 and precedes 475. It is composed of 8 distinct factors: 1, 2, 3, 6, 79, 158, 237, 474. Its prime factorization can be written as 2 × 3 × 79. 474 is classified as a abundant number based on the sum of its proper divisors. In computer science, 474 is represented as 111011010 in binary and 1DA in hexadecimal. Historically, it is written as CDLXXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 79) reveals 3 prime building blocks.
Divisible by 2
474 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 74 are not divisible by 4.
Divisible by 5
474 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 15 is not a multiple of 9.
Divisible by 10
474 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 474 within several notable number theory sequences:
Timeline
Deep dive
How 474 breaks down
474 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 486, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011010 supports bitwise reasoning, hexadecimal 1DA aligns with computing notation, and the Roman numeral CDLXXIV keeps the encyclopedic tradition alive. These attributes make 474 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 474 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (469–479) to tune search ranges, and educators feature 474 in worksheets about factor trees. Its binary footprint of length 9 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 474 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 474
Is 474 a prime number?
474 is composite with 8 total factors and the prime factorization 2 × 3 × 79.
What is the prime factorization of 474?
It breaks down as 2 × 3 × 79, multiplying the primes 2 × 3 × 79.
How is 474 represented in binary and hexadecimal?
474 converts to 111011010 in binary and 1DA in hexadecimal, which are helpful for computer science applications.
Is 474 a perfect square, cube, or triangular number?
474 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 474?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.