Is 4,331,475 a Prime Number?
No, 4,331,475 is not a prime number
Number Properties
- Value:4,331,475
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:7
- Binary:10000100001011111010011
- Hexadecimal:4217D3
Prime Status
4,331,475 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
35 × 52 × 23 × 31
Divisors
Total divisors: 72
1, 3, 5, 9, 15, 23, 25, 27, 31, 45, 69, 75, 81, 93, 115, 135, 155, 207, 225, 243, 279, 345, 405, 465, 575, 621, 675, 713, 775, 837, 1035, 1215, 1395, 1725, 1863, 2025, 2139, 2325, 2511, 3105, 3565, 4185, 5175, 5589, 6075, 6417, 6975, 7533, 9315, 10695, 12555, 15525, 17825, 19251, 20925, 27945, 32085, 37665, 46575, 53475, 57753, 62775, 96255, 139725, 160425, 173259, 188325, 288765, 481275, 866295, 1443825, 4331475
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.