631
631 is a odd prime number that follows 630 and precedes 632. As a prime number, 631 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 631. 631 is classified as a deficient number based on the sum of its proper divisors. In computer science, 631 is represented as 1001110111 in binary and 277 in hexadecimal. Historically, it is written as DCXXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
631 is prime, so its only factors are 1 and 631.
Divisible by 2
631 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
631 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
631 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 631 within several notable number theory sequences:
Timeline
Deep dive
How 631 breaks down
631 carries 2 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110111 supports bitwise reasoning, hexadecimal 277 aligns with computing notation, and the Roman numeral DCXXXI keeps the encyclopedic tradition alive. These attributes make 631 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 631 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (626–636) to tune search ranges, and educators feature 631 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 631 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 631
Is 631 a prime number?
631 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 631?
631 is already prime, so the factorization is simply 631.
How is 631 represented in binary and hexadecimal?
631 converts to 1001110111 in binary and 277 in hexadecimal, which are helpful for computer science applications.
Is 631 a perfect square, cube, or triangular number?
631 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 631?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.