877
877 is a odd prime number that follows 876 and precedes 878. As a prime number, 877 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 877. 877 is classified as a deficient number based on the sum of its proper divisors. In computer science, 877 is represented as 1101101101 in binary and 36D in hexadecimal. Historically, it is written as DCCCLXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
877 is prime, so its only factors are 1 and 877.
Divisible by 2
877 ends in 7, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 77 are not divisible by 4.
Divisible by 5
877 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 22 is not a multiple of 9.
Divisible by 10
877 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 877 within several notable number theory sequences:
Timeline
Deep dive
How 877 breaks down
877 carries 2 distinct factors and a digit signature of 22 (4 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 1101101101 supports bitwise reasoning, hexadecimal 36D aligns with computing notation, and the Roman numeral DCCCLXXVII keeps the encyclopedic tradition alive. These attributes make 877 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 877 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (872–882) to tune search ranges, and educators feature 877 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 877 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 877
Is 877 a prime number?
877 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 877?
877 is already prime, so the factorization is simply 877.
How is 877 represented in binary and hexadecimal?
877 converts to 1101101101 in binary and 36D in hexadecimal, which are helpful for computer science applications.
Is 877 a perfect square, cube, or triangular number?
877 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 877?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.