Is 2,489,424 a Prime Number?
No, 2,489,424 is not a prime number
Number Properties
- Value:2,489,424
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1001011111110001010000
- Hexadecimal:25FC50
Prime Status
2,489,424 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 7 × 31 × 239
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 31, 42, 48, 56, 62, 84, 93, 112, 124, 168, 186, 217, 239, 248, 336, 372, 434, 478, 496, 651, 717, 744, 868, 956, 1302, 1434, 1488, 1673, 1736, 1912, 2604, 2868, 3346, 3472, 3824, 5019, 5208, 5736, 6692, 7409, 10038, 10416, 11472, 13384, 14818, 20076, 22227, 26768, 29636, 40152, 44454, 51863, 59272, 80304, 88908, 103726, 118544, 155589, 177816, 207452, 311178, 355632, 414904, 622356, 829808, 1244712, 2489424
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.