4721
4721 is a odd prime number that follows 4720 and precedes 4722. As a prime number, 4721 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4721. 4721 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4721 is represented as 1001001110001 in binary and 1271 in hexadecimal.
Factor Analysis
2 FactorsProperties
4721 is prime, so its only factors are 1 and 4721.
Divisible by 2
4721 ends in 1, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
4721 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 14 is not a multiple of 9.
Divisible by 10
4721 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 4721 within several notable number theory sequences:
Timeline
Deep dive
How 4721 breaks down
4721 carries 2 distinct factors and a digit signature of 14 (5 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 1001001110001 supports bitwise reasoning, hexadecimal 1271 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4721 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4721 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4716–4726) to tune search ranges, and educators feature 4721 in worksheets about prime identification. Its binary footprint of length 13 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 4721 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 4721
Is 4721 a prime number?
4721 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4721?
4721 is already prime, so the factorization is simply 4721.
How is 4721 represented in binary and hexadecimal?
4721 converts to 1001001110001 in binary and 1271 in hexadecimal, which are helpful for computer science applications.
Is 4721 a perfect square, cube, or triangular number?
4721 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4721?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.