Is 3,920,004 a Prime Number?
No, 3,920,004 is not a prime number
Number Properties
- Value:3,920,004
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1110111101000010000100
- Hexadecimal:3BD084
Prime Status
3,920,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 11 × 19 × 521
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 521, 627, 684, 836, 1042, 1254, 1563, 1881, 2084, 2508, 3126, 3762, 4689, 5731, 6252, 7524, 9378, 9899, 11462, 17193, 18756, 19798, 22924, 29697, 34386, 39596, 51579, 59394, 68772, 89091, 103158, 108889, 118788, 178182, 206316, 217778, 326667, 356364, 435556, 653334, 980001, 1306668, 1960002, 3920004
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.