Is 2,640,015 a Prime Number?
No, 2,640,015 is not a prime number
Number Properties
- Value:2,640,015
- Number Type:Odd, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1010000100100010001111
- Hexadecimal:28488F
Prime Status
2,640,015 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
32 × 5 × 7 × 172 × 29
Divisors
Total divisors: 72
1, 3, 5, 7, 9, 15, 17, 21, 29, 35, 45, 51, 63, 85, 87, 105, 119, 145, 153, 203, 255, 261, 289, 315, 357, 435, 493, 595, 609, 765, 867, 1015, 1071, 1305, 1445, 1479, 1785, 1827, 2023, 2465, 2601, 3045, 3451, 4335, 4437, 5355, 6069, 7395, 8381, 9135, 10115, 10353, 13005, 17255, 18207, 22185, 25143, 30345, 31059, 41905, 51765, 58667, 75429, 91035, 125715, 155295, 176001, 293335, 377145, 528003, 880005, 2640015
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.