3488
3488 is a even composite number that follows 3487 and precedes 3489. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488. Its prime factorization can be written as 2^5 × 109. 3488 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3488 is represented as 110110100000 in binary and DA0 in hexadecimal. Historically, it is written as MMMCDLXXXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 109) reveals 6 prime building blocks.
Divisible by 2
3488 ends in 8, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
3488 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 23 is not a multiple of 9.
Divisible by 10
3488 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3488 within several notable number theory sequences:
Timeline
Deep dive
How 3488 breaks down
3488 carries 12 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 3442, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110100000 supports bitwise reasoning, hexadecimal DA0 aligns with computing notation, and the Roman numeral MMMCDLXXXVIII keeps the encyclopedic tradition alive. These attributes make 3488 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3488 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3483–3493) to tune search ranges, and educators feature 3488 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3488 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 3488
Is 3488 a prime number?
3488 is composite with 12 total factors and the prime factorization 2^5 × 109.
What is the prime factorization of 3488?
It breaks down as 2^5 × 109, multiplying the primes 2 × 2 × 2 × 2 × 2 × 109.
How is 3488 represented in binary and hexadecimal?
3488 converts to 110110100000 in binary and DA0 in hexadecimal, which are helpful for computer science applications.
Is 3488 a perfect square, cube, or triangular number?
3488 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3488?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.