3556
3556 is a even composite number that follows 3555 and precedes 3557. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556. Its prime factorization can be written as 2^2 × 7 × 127. 3556 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3556 is represented as 110111100100 in binary and DE4 in hexadecimal. Historically, it is written as MMMDLVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 127) reveals 4 prime building blocks.
Divisible by 2
3556 ends in 6, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 56 form a multiple of 4.
Divisible by 5
3556 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 19 is not a multiple of 9.
Divisible by 10
3556 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 3556 within several notable number theory sequences:
Timeline
Deep dive
How 3556 breaks down
3556 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 3612, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111100100 supports bitwise reasoning, hexadecimal DE4 aligns with computing notation, and the Roman numeral MMMDLVI keeps the encyclopedic tradition alive. These attributes make 3556 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3556 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3551–3561) to tune search ranges, and educators feature 3556 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 3556 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 3556
Is 3556 a prime number?
3556 is composite with 12 total factors and the prime factorization 2^2 × 7 × 127.
What is the prime factorization of 3556?
It breaks down as 2^2 × 7 × 127, multiplying the primes 2 × 2 × 7 × 127.
How is 3556 represented in binary and hexadecimal?
3556 converts to 110111100100 in binary and DE4 in hexadecimal, which are helpful for computer science applications.
Is 3556 a perfect square, cube, or triangular number?
3556 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3556?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.