5407
5407 is a odd prime number that follows 5406 and precedes 5408. As a prime number, 5407 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 5407. 5407 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5407 is represented as 1010100011111 in binary and 151F in hexadecimal.
Factor Analysis
2 FactorsProperties
5407 is prime, so its only factors are 1 and 5407.
Divisible by 2
5407 ends in 7, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
5407 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 16 is not a multiple of 9.
Divisible by 10
5407 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 5407 within several notable number theory sequences:
Timeline
Deep dive
How 5407 breaks down
5407 carries 2 distinct factors and a digit signature of 16 (7 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 1010100011111 supports bitwise reasoning, hexadecimal 151F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5407 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5407 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5402–5412) to tune search ranges, and educators feature 5407 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 5407 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 5407
Is 5407 a prime number?
5407 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 5407?
5407 is already prime, so the factorization is simply 5407.
How is 5407 represented in binary and hexadecimal?
5407 converts to 1010100011111 in binary and 151F in hexadecimal, which are helpful for computer science applications.
Is 5407 a perfect square, cube, or triangular number?
5407 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5407?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.