Is 2,413,824 a Prime Number?
No, 2,413,824 is not a prime number
Number Properties
- Value:2,413,824
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1001001101010100000000
- Hexadecimal:24D500
Prime Status
2,413,824 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
28 × 3 × 7 × 449
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 449, 672, 768, 896, 898, 1344, 1347, 1792, 1796, 2688, 2694, 3143, 3592, 5376, 5388, 6286, 7184, 9429, 10776, 12572, 14368, 18858, 21552, 25144, 28736, 37716, 43104, 50288, 57472, 75432, 86208, 100576, 114944, 150864, 172416, 201152, 301728, 344832, 402304, 603456, 804608, 1206912, 2413824
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.