667
667 is a odd composite number that follows 666 and precedes 668. It is composed of 4 distinct factors: 1, 23, 29, 667. Its prime factorization can be written as 23 × 29. 667 is classified as a deficient number based on the sum of its proper divisors. In computer science, 667 is represented as 1010011011 in binary and 29B in hexadecimal. Historically, it is written as DCLXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (23 × 29) reveals 2 prime building blocks.
Divisible by 2
667 ends in 7, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
667 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
667 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 667 within several notable number theory sequences:
Timeline
Deep dive
How 667 breaks down
667 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 53, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011011 supports bitwise reasoning, hexadecimal 29B aligns with computing notation, and the Roman numeral DCLXVII keeps the encyclopedic tradition alive. These attributes make 667 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 667 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (662–672) to tune search ranges, and educators feature 667 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, Deficient numbers) help historians, numerologists, and trivia writers tie 667 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 667
Is 667 a prime number?
667 is composite with 4 total factors and the prime factorization 23 × 29.
What is the prime factorization of 667?
It breaks down as 23 × 29, multiplying the primes 23 × 29.
How is 667 represented in binary and hexadecimal?
667 converts to 1010011011 in binary and 29B in hexadecimal, which are helpful for computer science applications.
Is 667 a perfect square, cube, or triangular number?
667 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 667?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.