Is 2,004,080 a Prime Number?
No, 2,004,080 is not a prime number
Number Properties
- Value:2,004,080
- Number Type:Even, Positive
- Digit Sum:14
- Total Digits:7
- Binary:111101001010001110000
- Hexadecimal:1E9470
Prime Status
2,004,080 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 13 × 41 × 47
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 41, 47, 52, 65, 80, 82, 94, 104, 130, 164, 188, 205, 208, 235, 260, 328, 376, 410, 470, 520, 533, 611, 656, 752, 820, 940, 1040, 1066, 1222, 1640, 1880, 1927, 2132, 2444, 2665, 3055, 3280, 3760, 3854, 4264, 4888, 5330, 6110, 7708, 8528, 9635, 9776, 10660, 12220, 15416, 19270, 21320, 24440, 25051, 30832, 38540, 42640, 48880, 50102, 77080, 100204, 125255, 154160, 200408, 250510, 400816, 501020, 1002040, 2004080
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.