Is 3,428,010 a Prime Number?
No, 3,428,010 is not a prime number
Number Properties
- Value:3,428,010
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101000100111010101010
- Hexadecimal:344EAA
Prime Status
3,428,010 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 5 × 41 × 929
Divisors
Total divisors: 48
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 929, 1230, 1845, 1858, 2787, 3690, 4645, 5574, 8361, 9290, 13935, 16722, 27870, 38089, 41805, 76178, 83610, 114267, 190445, 228534, 342801, 380890, 571335, 685602, 1142670, 1714005, 3428010
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.