Is 3,428,910 a Prime Number?
No, 3,428,910 is not a prime number
Number Properties
- Value:3,428,910
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000101001000101110
- Hexadecimal:34522E
Prime Status
3,428,910 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 5 × 31 × 1229
Divisors
Total divisors: 48
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1229, 1395, 2458, 2790, 3687, 6145, 7374, 11061, 12290, 18435, 22122, 36870, 38099, 55305, 76198, 110610, 114297, 190495, 228594, 342891, 380990, 571485, 685782, 1142970, 1714455, 3428910
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.