Is 4,047,472 a Prime Number?
No, 4,047,472 is not a prime number
Number Properties
- Value:4,047,472
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:7
- Binary:1111011100001001110000
- Hexadecimal:3DC270
Prime Status
4,047,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 11 × 13 × 29 × 61
Divisors
Total divisors: 80
1, 2, 4, 8, 11, 13, 16, 22, 26, 29, 44, 52, 58, 61, 88, 104, 116, 122, 143, 176, 208, 232, 244, 286, 319, 377, 464, 488, 572, 638, 671, 754, 793, 976, 1144, 1276, 1342, 1508, 1586, 1769, 2288, 2552, 2684, 3016, 3172, 3538, 4147, 5104, 5368, 6032, 6344, 7076, 8294, 8723, 10736, 12688, 14152, 16588, 17446, 19459, 22997, 28304, 33176, 34892, 38918, 45994, 66352, 69784, 77836, 91988, 139568, 155672, 183976, 252967, 311344, 367952, 505934, 1011868, 2023736, 4047472
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.