Is 2,693,004 a Prime Number?
No, 2,693,004 is not a prime number
Number Properties
- Value:2,693,004
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1010010001011110001100
- Hexadecimal:29178C
Prime Status
2,693,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 17 × 43 × 307
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 307, 516, 614, 731, 921, 1228, 1462, 1842, 2193, 2924, 3684, 4386, 5219, 8772, 10438, 13201, 15657, 20876, 26402, 31314, 39603, 52804, 62628, 79206, 158412, 224417, 448834, 673251, 897668, 1346502, 2693004
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.