Is 3,992,120 a Prime Number?
No, 3,992,120 is not a prime number
Number Properties
- Value:3,992,120
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1111001110101000111000
- Hexadecimal:3CEA38
Prime Status
3,992,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 11 × 43 × 211
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 43, 44, 55, 86, 88, 110, 172, 211, 215, 220, 344, 422, 430, 440, 473, 844, 860, 946, 1055, 1688, 1720, 1892, 2110, 2321, 2365, 3784, 4220, 4642, 4730, 8440, 9073, 9284, 9460, 11605, 18146, 18568, 18920, 23210, 36292, 45365, 46420, 72584, 90730, 92840, 99803, 181460, 199606, 362920, 399212, 499015, 798424, 998030, 1996060, 3992120
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.