Is 4,002,336 a Prime Number?
No, 4,002,336 is not a prime number
Number Properties
- Value:4,002,336
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1111010001001000100000
- Hexadecimal:3D1220
Prime Status
4,002,336 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 32 × 13 × 1069
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1069, 1248, 1872, 2138, 3207, 3744, 4276, 6414, 8552, 9621, 12828, 13897, 17104, 19242, 25656, 27794, 34208, 38484, 41691, 51312, 55588, 76968, 83382, 102624, 111176, 125073, 153936, 166764, 222352, 250146, 307872, 333528, 444704, 500292, 667056, 1000584, 1334112, 2001168, 4002336
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.