Is 4,096,576 a Prime Number?
No, 4,096,576 is not a prime number
Number Properties
- Value:4,096,576
- Number Type:Even, Positive, Perfect Square
- Digit Sum:37
- Total Digits:7
- Binary:1111101000001001000000
- Hexadecimal:3E8240
Prime Status
4,096,576 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 112 × 232
Divisors
Total divisors: 63
1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 64, 88, 92, 121, 176, 184, 242, 253, 352, 368, 484, 506, 529, 704, 736, 968, 1012, 1058, 1472, 1936, 2024, 2116, 2783, 3872, 4048, 4232, 5566, 5819, 7744, 8096, 8464, 11132, 11638, 16192, 16928, 22264, 23276, 33856, 44528, 46552, 64009, 89056, 93104, 128018, 178112, 186208, 256036, 372416, 512072, 1024144, 2048288, 4096576
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.