3462
3462 is a even composite number that follows 3461 and precedes 3463. It is composed of 8 distinct factors: 1, 2, 3, 6, 577, 1154, 1731, 3462. Its prime factorization can be written as 2 × 3 × 577. 3462 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3462 is represented as 110110000110 in binary and D86 in hexadecimal. Historically, it is written as MMMCDLXII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 577) reveals 3 prime building blocks.
Divisible by 2
3462 ends in 2, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 62 are not divisible by 4.
Divisible by 5
3462 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
3462 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 3462 within several notable number theory sequences:
Timeline
Deep dive
How 3462 breaks down
3462 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 3474, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110000110 supports bitwise reasoning, hexadecimal D86 aligns with computing notation, and the Roman numeral MMMCDLXII keeps the encyclopedic tradition alive. These attributes make 3462 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3462 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3457–3467) to tune search ranges, and educators feature 3462 in worksheets about factor trees. Its binary footprint of length 12 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 3462 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 3462
Is 3462 a prime number?
3462 is composite with 8 total factors and the prime factorization 2 × 3 × 577.
What is the prime factorization of 3462?
It breaks down as 2 × 3 × 577, multiplying the primes 2 × 3 × 577.
How is 3462 represented in binary and hexadecimal?
3462 converts to 110110000110 in binary and D86 in hexadecimal, which are helpful for computer science applications.
Is 3462 a perfect square, cube, or triangular number?
3462 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3462?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.