Is 3,995,472 a Prime Number?
No, 3,995,472 is not a prime number
Number Properties
- Value:3,995,472
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1111001111011101010000
- Hexadecimal:3CF750
Prime Status
3,995,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 13 × 19 × 337
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 12, 13, 16, 19, 24, 26, 38, 39, 48, 52, 57, 76, 78, 104, 114, 152, 156, 208, 228, 247, 304, 312, 337, 456, 494, 624, 674, 741, 912, 988, 1011, 1348, 1482, 1976, 2022, 2696, 2964, 3952, 4044, 4381, 5392, 5928, 6403, 8088, 8762, 11856, 12806, 13143, 16176, 17524, 19209, 25612, 26286, 35048, 38418, 51224, 52572, 70096, 76836, 83239, 102448, 105144, 153672, 166478, 210288, 249717, 307344, 332956, 499434, 665912, 998868, 1331824, 1997736, 3995472
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.