Is 4,002,024 a Prime Number?
No, 4,002,024 is not a prime number
Number Properties
- Value:4,002,024
- Number Type:Even, Positive
- Digit Sum:12
- Total Digits:7
- Binary:1111010001000011101000
- Hexadecimal:3D10E8
Prime Status
4,002,024 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 13 × 101 × 127
Divisors
Total divisors: 64
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 101, 104, 127, 156, 202, 254, 303, 312, 381, 404, 508, 606, 762, 808, 1016, 1212, 1313, 1524, 1651, 2424, 2626, 3048, 3302, 3939, 4953, 5252, 6604, 7878, 9906, 10504, 12827, 13208, 15756, 19812, 25654, 31512, 38481, 39624, 51308, 76962, 102616, 153924, 166751, 307848, 333502, 500253, 667004, 1000506, 1334008, 2001012, 4002024
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.