479
479 is a odd prime number that follows 478 and precedes 480. As a prime number, 479 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 479. 479 is classified as a deficient number based on the sum of its proper divisors. In computer science, 479 is represented as 111011111 in binary and 1DF in hexadecimal. Historically, it is written as CDLXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
479 is prime, so its only factors are 1 and 479.
Divisible by 2
479 ends in 9, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
479 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 20 is not a multiple of 9.
Divisible by 10
479 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 479 within several notable number theory sequences:
Timeline
Deep dive
How 479 breaks down
479 carries 2 distinct factors and a digit signature of 20 (2 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 111011111 supports bitwise reasoning, hexadecimal 1DF aligns with computing notation, and the Roman numeral CDLXXIX keeps the encyclopedic tradition alive. These attributes make 479 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 479 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (474–484) to tune search ranges, and educators feature 479 in worksheets about prime identification. Its binary footprint of length 9 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 479 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 479
Is 479 a prime number?
479 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 479?
479 is already prime, so the factorization is simply 479.
How is 479 represented in binary and hexadecimal?
479 converts to 111011111 in binary and 1DF in hexadecimal, which are helpful for computer science applications.
Is 479 a perfect square, cube, or triangular number?
479 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 479?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.