Is 3,426,430 a Prime Number?
No, 3,426,430 is not a prime number
Number Properties
- Value:3,426,430
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:7
- Binary:1101000100100001111110
- Hexadecimal:34487E
Prime Status
3,426,430 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 7 × 31 × 1579
Divisors
Total divisors: 32
1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 1579, 2170, 3158, 7895, 11053, 15790, 22106, 48949, 55265, 97898, 110530, 244745, 342643, 489490, 685286, 1713215, 3426430
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.