Is 2,002,200 a Prime Number?
No, 2,002,200 is not a prime number
Number Properties
- Value:2,002,200
- Number Type:Even, Positive
- Digit Sum:6
- Total Digits:7
- Binary:111101000110100011000
- Hexadecimal:1E8D18
Prime Status
2,002,200 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 52 × 47 × 71
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 47, 50, 60, 71, 75, 94, 100, 120, 141, 142, 150, 188, 200, 213, 235, 282, 284, 300, 355, 376, 426, 470, 564, 568, 600, 705, 710, 852, 940, 1065, 1128, 1175, 1410, 1420, 1704, 1775, 1880, 2130, 2350, 2820, 2840, 3337, 3525, 3550, 4260, 4700, 5325, 5640, 6674, 7050, 7100, 8520, 9400, 10011, 10650, 13348, 14100, 14200, 16685, 20022, 21300, 26696, 28200, 33370, 40044, 42600, 50055, 66740, 80088, 83425, 100110, 133480, 166850, 200220, 250275, 333700, 400440, 500550, 667400, 1001100, 2002200
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.