Is 4,217,004 a Prime Number?
No, 4,217,004 is not a prime number
Number Properties
- Value:4,217,004
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:10000000101100010101100
- Hexadecimal:4058AC
Prime Status
4,217,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 11 × 23 × 463
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 463, 506, 759, 828, 926, 1012, 1389, 1518, 1852, 2277, 2778, 3036, 4167, 4554, 5093, 5556, 8334, 9108, 10186, 10649, 15279, 16668, 20372, 21298, 30558, 31947, 42596, 45837, 61116, 63894, 91674, 95841, 117139, 127788, 183348, 191682, 234278, 351417, 383364, 468556, 702834, 1054251, 1405668, 2108502, 4217004
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.