Is 4,002,208 a Prime Number?
No, 4,002,208 is not a prime number
Number Properties
- Value:4,002,208
- Number Type:Even, Positive
- Digit Sum:16
- Total Digits:7
- Binary:1111010001000110100000
- Hexadecimal:3D11A0
Prime Status
4,002,208 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 7 × 17 × 1051
Divisors
Total divisors: 48
1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1051, 1904, 2102, 3808, 4204, 7357, 8408, 14714, 16816, 17867, 29428, 33632, 35734, 58856, 71468, 117712, 125069, 142936, 235424, 250138, 285872, 500276, 571744, 1000552, 2001104, 4002208
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.