Is 4,411,264 a Prime Number?
No, 4,411,264 is not a prime number
Number Properties
- Value:4,411,264
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:7
- Binary:10000110100111110000000
- Hexadecimal:434F80
Prime Status
4,411,264 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 11 × 13 × 241
Divisors
Total divisors: 64
1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 128, 143, 176, 208, 241, 286, 352, 416, 482, 572, 704, 832, 964, 1144, 1408, 1664, 1928, 2288, 2651, 3133, 3856, 4576, 5302, 6266, 7712, 9152, 10604, 12532, 15424, 18304, 21208, 25064, 30848, 34463, 42416, 50128, 68926, 84832, 100256, 137852, 169664, 200512, 275704, 339328, 401024, 551408, 1102816, 2205632, 4411264
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.