Is 3,854,004 a Prime Number?
No, 3,854,004 is not a prime number
Number Properties
- Value:3,854,004
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1110101100111010110100
- Hexadecimal:3ACEB4
Prime Status
3,854,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 11 × 43 × 97
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 43, 44, 66, 77, 84, 86, 97, 129, 132, 154, 172, 194, 231, 258, 291, 301, 308, 388, 462, 473, 516, 582, 602, 679, 903, 924, 946, 1067, 1164, 1204, 1358, 1419, 1806, 1892, 2037, 2134, 2716, 2838, 3201, 3311, 3612, 4074, 4171, 4268, 5676, 6402, 6622, 7469, 8148, 8342, 9933, 12513, 12804, 13244, 14938, 16684, 19866, 22407, 25026, 29197, 29876, 39732, 44814, 45881, 50052, 58394, 87591, 89628, 91762, 116788, 137643, 175182, 183524, 275286, 321167, 350364, 550572, 642334, 963501, 1284668, 1927002, 3854004
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.