Is 4,709,120 a Prime Number?
No, 4,709,120 is not a prime number
Number Properties
- Value:4,709,120
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:10001111101101100000000
- Hexadecimal:47DB00
Prime Status
4,709,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
28 × 5 × 13 × 283
Divisors
Total divisors: 72
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 256, 260, 283, 320, 416, 520, 566, 640, 832, 1040, 1132, 1280, 1415, 1664, 2080, 2264, 2830, 3328, 3679, 4160, 4528, 5660, 7358, 8320, 9056, 11320, 14716, 16640, 18112, 18395, 22640, 29432, 36224, 36790, 45280, 58864, 72448, 73580, 90560, 117728, 147160, 181120, 235456, 294320, 362240, 470912, 588640, 941824, 1177280, 2354560, 4709120
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.