4621
4621 is a odd prime number that follows 4620 and precedes 4622. As a prime number, 4621 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4621. 4621 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4621 is represented as 1001000001101 in binary and 120D in hexadecimal.
Factor Analysis
2 FactorsProperties
4621 is prime, so its only factors are 1 and 4621.
Divisible by 2
4621 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
4621 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 13 is not a multiple of 9.
Divisible by 10
4621 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 4621 within several notable number theory sequences:
Timeline
Deep dive
How 4621 breaks down
4621 carries 2 distinct factors and a digit signature of 13 (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 1001000001101 supports bitwise reasoning, hexadecimal 120D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4621 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4621 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4616–4626) to tune search ranges, and educators feature 4621 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 4621 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 4621
Is 4621 a prime number?
4621 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4621?
4621 is already prime, so the factorization is simply 4621.
How is 4621 represented in binary and hexadecimal?
4621 converts to 1001000001101 in binary and 120D in hexadecimal, which are helpful for computer science applications.
Is 4621 a perfect square, cube, or triangular number?
4621 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4621?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.