Is 426,321 a Prime Number?
No, 426,321 is not a prime number
Number Properties
- Value:426,321
- Number Type:Odd, Positive
- Digit Sum:18
- Total Digits:6
- Binary:1101000000101010001
- Hexadecimal:68151
Prime Status
426,321 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
32 × 7 × 67 × 101
Divisors
Total divisors: 24
1, 3, 7, 9, 21, 63, 67, 101, 201, 303, 469, 603, 707, 909, 1407, 2121, 4221, 6363, 6767, 20301, 47369, 60903, 142107, 426321
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.