672
672 is a even composite number that follows 671 and precedes 673. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672. Its prime factorization can be written as 2^5 × 3 × 7. 672 is classified as a abundant number based on the sum of its proper divisors. In computer science, 672 is represented as 1010100000 in binary and 2A0 in hexadecimal. Historically, it is written as DCLXXII in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^5 × 3 × 7) reveals 7 prime building blocks.
Divisible by 2
672 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 72 form a multiple of 4.
Divisible by 5
672 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
672 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 672 within several notable number theory sequences:
Timeline
Deep dive
How 672 breaks down
672 carries 24 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 1344, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010100000 supports bitwise reasoning, hexadecimal 2A0 aligns with computing notation, and the Roman numeral DCLXXII keeps the encyclopedic tradition alive. These attributes make 672 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 672 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (667–677) to tune search ranges, and educators feature 672 in worksheets about factor trees. Its binary footprint of length 10 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 672 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 672
Is 672 a prime number?
672 is composite with 24 total factors and the prime factorization 2^5 × 3 × 7.
What is the prime factorization of 672?
It breaks down as 2^5 × 3 × 7, multiplying the primes 2 × 2 × 2 × 2 × 2 × 3 × 7.
How is 672 represented in binary and hexadecimal?
672 converts to 1010100000 in binary and 2A0 in hexadecimal, which are helpful for computer science applications.
Is 672 a perfect square, cube, or triangular number?
672 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 672?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.