Is 2,424,744 a Prime Number?
No, 2,424,744 is not a prime number
Number Properties
- Value:2,424,744
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1001001111111110101000
- Hexadecimal:24FFA8
Prime Status
2,424,744 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 7 × 17 × 283
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 21, 24, 28, 34, 36, 42, 51, 56, 63, 68, 72, 84, 102, 119, 126, 136, 153, 168, 204, 238, 252, 283, 306, 357, 408, 476, 504, 566, 612, 714, 849, 952, 1071, 1132, 1224, 1428, 1698, 1981, 2142, 2264, 2547, 2856, 3396, 3962, 4284, 4811, 5094, 5943, 6792, 7924, 8568, 9622, 10188, 11886, 14433, 15848, 17829, 19244, 20376, 23772, 28866, 33677, 35658, 38488, 43299, 47544, 57732, 67354, 71316, 86598, 101031, 115464, 134708, 142632, 173196, 202062, 269416, 303093, 346392, 404124, 606186, 808248, 1212372, 2424744
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.