Is 3,428,810 a Prime Number?
No, 3,428,810 is not a prime number
Number Properties
- Value:3,428,810
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1101000101000111001010
- Hexadecimal:3451CA
Prime Status
3,428,810 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 7 × 11 × 61 × 73
Divisors
Total divisors: 64
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 61, 70, 73, 77, 110, 122, 146, 154, 305, 365, 385, 427, 511, 610, 671, 730, 770, 803, 854, 1022, 1342, 1606, 2135, 2555, 3355, 4015, 4270, 4453, 4697, 5110, 5621, 6710, 8030, 8906, 9394, 11242, 22265, 23485, 28105, 31171, 44530, 46970, 48983, 56210, 62342, 97966, 155855, 244915, 311710, 342881, 489830, 685762, 1714405, 3428810
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.