Is 3,968,004 a Prime Number?
No, 3,968,004 is not a prime number
Number Properties
- Value:3,968,004
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1111001000110000000100
- Hexadecimal:3C8C04
Prime Status
3,968,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 17 × 53 × 367
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 17, 34, 51, 53, 68, 102, 106, 159, 204, 212, 318, 367, 636, 734, 901, 1101, 1468, 1802, 2202, 2703, 3604, 4404, 5406, 6239, 10812, 12478, 18717, 19451, 24956, 37434, 38902, 58353, 74868, 77804, 116706, 233412, 330667, 661334, 992001, 1322668, 1984002, 3968004
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.