Is 2,006,040 a Prime Number?
No, 2,006,040 is not a prime number
Number Properties
- Value:2,006,040
- Number Type:Even, Positive
- Digit Sum:12
- Total Digits:7
- Binary:111101001110000011000
- Hexadecimal:1E9C18
Prime Status
2,006,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 73 × 229
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 229, 292, 365, 438, 458, 584, 687, 730, 876, 916, 1095, 1145, 1374, 1460, 1752, 1832, 2190, 2290, 2748, 2920, 3435, 4380, 4580, 5496, 6870, 8760, 9160, 13740, 16717, 27480, 33434, 50151, 66868, 83585, 100302, 133736, 167170, 200604, 250755, 334340, 401208, 501510, 668680, 1003020, 2006040
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.