Is 3,425,643 a Prime Number?
No, 3,425,643 is not a prime number
Number Properties
- Value:3,425,643
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000100010101101011
- Hexadecimal:34456B
Prime Status
3,425,643 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
32 × 13 × 19 × 23 × 67
Divisors
Total divisors: 48
1, 3, 9, 13, 19, 23, 39, 57, 67, 69, 117, 171, 201, 207, 247, 299, 437, 603, 741, 871, 897, 1273, 1311, 1541, 2223, 2613, 2691, 3819, 3933, 4623, 5681, 7839, 11457, 13869, 16549, 17043, 20033, 29279, 49647, 51129, 60099, 87837, 148941, 180297, 263511, 380627, 1141881, 3425643
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.