Is 4,713,488 a Prime Number?
No, 4,713,488 is not a prime number
Number Properties
- Value:4,713,488
- Number Type:Even, Positive
- Digit Sum:35
- Total Digits:7
- Binary:10001111110110000010000
- Hexadecimal:47EC10
Prime Status
4,713,488 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 13 × 17 × 31 × 43
Divisors
Total divisors: 80
1, 2, 4, 8, 13, 16, 17, 26, 31, 34, 43, 52, 62, 68, 86, 104, 124, 136, 172, 208, 221, 248, 272, 344, 403, 442, 496, 527, 559, 688, 731, 806, 884, 1054, 1118, 1333, 1462, 1612, 1768, 2108, 2236, 2666, 2924, 3224, 3536, 4216, 4472, 5332, 5848, 6448, 6851, 8432, 8944, 9503, 10664, 11696, 13702, 17329, 19006, 21328, 22661, 27404, 34658, 38012, 45322, 54808, 69316, 76024, 90644, 109616, 138632, 152048, 181288, 277264, 294593, 362576, 589186, 1178372, 2356744, 4713488
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.