1612
1612 is a even composite number that follows 1611 and precedes 1613. It is composed of 12 distinct factors: 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612. Its prime factorization can be written as 2^2 × 13 × 31. 1612 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1612 is represented as 11001001100 in binary and 64C in hexadecimal. Historically, it is written as MDCXII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 31) reveals 4 prime building blocks.
Divisible by 2
1612 ends in 2, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 12 form a multiple of 4.
Divisible by 5
1612 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 10 is not a multiple of 9.
Divisible by 10
1612 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 1612 within several notable number theory sequences:
Timeline
Deep dive
How 1612 breaks down
1612 carries 12 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1524, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11001001100 supports bitwise reasoning, hexadecimal 64C aligns with computing notation, and the Roman numeral MDCXII keeps the encyclopedic tradition alive. These attributes make 1612 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1612 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1607–1617) to tune search ranges, and educators feature 1612 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, Deficient numbers) help historians, numerologists, and trivia writers tie 1612 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 1612
Is 1612 a prime number?
1612 is composite with 12 total factors and the prime factorization 2^2 × 13 × 31.
What is the prime factorization of 1612?
It breaks down as 2^2 × 13 × 31, multiplying the primes 2 × 2 × 13 × 31.
How is 1612 represented in binary and hexadecimal?
1612 converts to 11001001100 in binary and 64C in hexadecimal, which are helpful for computer science applications.
Is 1612 a perfect square, cube, or triangular number?
1612 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1612?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.