Is 3,428,820 a Prime Number?
No, 3,428,820 is not a prime number
Number Properties
- Value:3,428,820
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000101000111010100
- Hexadecimal:3451D4
Prime Status
3,428,820 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 43 × 443
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 443, 516, 645, 774, 860, 886, 1290, 1329, 1548, 1772, 1935, 2215, 2580, 2658, 3870, 3987, 4430, 5316, 6645, 7740, 7974, 8860, 13290, 15948, 19049, 19935, 26580, 38098, 39870, 57147, 76196, 79740, 95245, 114294, 171441, 190490, 228588, 285735, 342882, 380980, 571470, 685764, 857205, 1142940, 1714410, 3428820
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.