Is 2,007,000 a Prime Number?
No, 2,007,000 is not a prime number
Number Properties
- Value:2,007,000
- Number Type:Even, Positive
- Digit Sum:9
- Total Digits:7
- Binary:111101001111111011000
- Hexadecimal:1E9FD8
Prime Status
2,007,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 53 × 223
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 223, 225, 250, 300, 360, 375, 446, 450, 500, 600, 669, 750, 892, 900, 1000, 1115, 1125, 1338, 1500, 1784, 1800, 2007, 2230, 2250, 2676, 3000, 3345, 4014, 4460, 4500, 5352, 5575, 6690, 8028, 8920, 9000, 10035, 11150, 13380, 16056, 16725, 20070, 22300, 26760, 27875, 33450, 40140, 44600, 50175, 55750, 66900, 80280, 83625, 100350, 111500, 133800, 167250, 200700, 223000, 250875, 334500, 401400, 501750, 669000, 1003500, 2007000
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.