Is 3,458,004 a Prime Number?
No, 3,458,004 is not a prime number
Number Properties
- Value:3,458,004
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101001100001111010100
- Hexadecimal:34C3D4
Prime Status
3,458,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 11 × 17 × 23 × 67
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 11, 12, 17, 22, 23, 33, 34, 44, 46, 51, 66, 67, 68, 69, 92, 102, 132, 134, 138, 187, 201, 204, 253, 268, 276, 374, 391, 402, 506, 561, 737, 748, 759, 782, 804, 1012, 1122, 1139, 1173, 1474, 1518, 1541, 1564, 2211, 2244, 2278, 2346, 2948, 3036, 3082, 3417, 4301, 4422, 4556, 4623, 4692, 6164, 6834, 8602, 8844, 9246, 12529, 12903, 13668, 16951, 17204, 18492, 25058, 25806, 26197, 33902, 37587, 50116, 50853, 51612, 52394, 67804, 75174, 78591, 101706, 104788, 150348, 157182, 203412, 288167, 314364, 576334, 864501, 1152668, 1729002, 3458004
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.