1476
1476 is a even composite number that follows 1475 and precedes 1477. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476. Its prime factorization can be written as 2^2 × 3^2 × 41. 1476 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1476 is represented as 10111000100 in binary and 5C4 in hexadecimal. Historically, it is written as MCDLXXVI in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 41) reveals 5 prime building blocks.
Divisible by 2
1476 ends in 6, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
1476 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
1476 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 1476 within several notable number theory sequences:
Timeline
Deep dive
How 1476 breaks down
1476 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 2346, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111000100 supports bitwise reasoning, hexadecimal 5C4 aligns with computing notation, and the Roman numeral MCDLXXVI keeps the encyclopedic tradition alive. These attributes make 1476 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1476 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1471–1481) to tune search ranges, and educators feature 1476 in worksheets about factor trees. Its binary footprint of length 11 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 1476 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 1476
Is 1476 a prime number?
1476 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 41.
What is the prime factorization of 1476?
It breaks down as 2^2 × 3^2 × 41, multiplying the primes 2 × 2 × 3 × 3 × 41.
How is 1476 represented in binary and hexadecimal?
1476 converts to 10111000100 in binary and 5C4 in hexadecimal, which are helpful for computer science applications.
Is 1476 a perfect square, cube, or triangular number?
1476 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1476?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.