3172
3172 is a even composite number that follows 3171 and precedes 3173. It is composed of 12 distinct factors: 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172. Its prime factorization can be written as 2^2 × 13 × 61. 3172 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3172 is represented as 110001100100 in binary and C64 in hexadecimal. Historically, it is written as MMMCLXXII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 61) reveals 4 prime building blocks.
Divisible by 2
3172 ends in 2, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
3172 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 13 is not a multiple of 9.
Divisible by 10
3172 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 3172 within several notable number theory sequences:
Timeline
Deep dive
How 3172 breaks down
3172 carries 12 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 2904, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001100100 supports bitwise reasoning, hexadecimal C64 aligns with computing notation, and the Roman numeral MMMCLXXII keeps the encyclopedic tradition alive. These attributes make 3172 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3172 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3167–3177) to tune search ranges, and educators feature 3172 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 3172 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 3172
Is 3172 a prime number?
3172 is composite with 12 total factors and the prime factorization 2^2 × 13 × 61.
What is the prime factorization of 3172?
It breaks down as 2^2 × 13 × 61, multiplying the primes 2 × 2 × 13 × 61.
How is 3172 represented in binary and hexadecimal?
3172 converts to 110001100100 in binary and C64 in hexadecimal, which are helpful for computer science applications.
Is 3172 a perfect square, cube, or triangular number?
3172 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3172?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.