Is 2,000,988 a Prime Number?
No, 2,000,988 is not a prime number
Number Properties
- Value:2,000,988
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:111101000100001011100
- Hexadecimal:1E885C
Prime Status
2,000,988 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 11 × 31 × 163
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 31, 33, 36, 44, 62, 66, 93, 99, 124, 132, 163, 186, 198, 279, 326, 341, 372, 396, 489, 558, 652, 682, 978, 1023, 1116, 1364, 1467, 1793, 1956, 2046, 2934, 3069, 3586, 4092, 5053, 5379, 5868, 6138, 7172, 10106, 10758, 12276, 15159, 16137, 20212, 21516, 30318, 32274, 45477, 55583, 60636, 64548, 90954, 111166, 166749, 181908, 222332, 333498, 500247, 666996, 1000494, 2000988
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.