Is 4,002,096 a Prime Number?
No, 4,002,096 is not a prime number
Number Properties
- Value:4,002,096
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1111010001000100110000
- Hexadecimal:3D1130
Prime Status
4,002,096 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 7 × 43 × 277
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 43, 48, 56, 84, 86, 112, 129, 168, 172, 258, 277, 301, 336, 344, 516, 554, 602, 688, 831, 903, 1032, 1108, 1204, 1662, 1806, 1939, 2064, 2216, 2408, 3324, 3612, 3878, 4432, 4816, 5817, 6648, 7224, 7756, 11634, 11911, 13296, 14448, 15512, 23268, 23822, 31024, 35733, 46536, 47644, 71466, 83377, 93072, 95288, 142932, 166754, 190576, 250131, 285864, 333508, 500262, 571728, 667016, 1000524, 1334032, 2001048, 4002096
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.