Is 3,992,076 a Prime Number?
No, 3,992,076 is not a prime number
Number Properties
- Value:3,992,076
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1111001110101000001100
- Hexadecimal:3CEA0C
Prime Status
3,992,076 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 11 × 17 × 593
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 593, 612, 748, 1122, 1186, 1683, 1779, 2244, 2372, 3366, 3558, 5337, 6523, 6732, 7116, 10081, 10674, 13046, 19569, 20162, 21348, 26092, 30243, 39138, 40324, 58707, 60486, 78276, 90729, 110891, 117414, 120972, 181458, 221782, 234828, 332673, 362916, 443564, 665346, 998019, 1330692, 1996038, 3992076
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.