Is 3,290,010 a Prime Number?
No, 3,290,010 is not a prime number
Number Properties
- Value:3,290,010
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1100100011001110011010
- Hexadecimal:32339A
Prime Status
3,290,010 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 17 × 6451
Divisors
Total divisors: 32
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510, 6451, 12902, 19353, 32255, 38706, 64510, 96765, 109667, 193530, 219334, 329001, 548335, 658002, 1096670, 1645005, 3290010
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.