Is 3,940,480 a Prime Number?
No, 3,940,480 is not a prime number
Number Properties
- Value:3,940,480
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:7
- Binary:1111000010000010000000
- Hexadecimal:3C2080
Prime Status
3,940,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 5 × 47 × 131
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 128, 131, 160, 188, 235, 262, 320, 376, 470, 524, 640, 655, 752, 940, 1048, 1310, 1504, 1880, 2096, 2620, 3008, 3760, 4192, 5240, 6016, 6157, 7520, 8384, 10480, 12314, 15040, 16768, 20960, 24628, 30080, 30785, 41920, 49256, 61570, 83840, 98512, 123140, 197024, 246280, 394048, 492560, 788096, 985120, 1970240, 3940480
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.