Is 2,509,824 a Prime Number?
No, 2,509,824 is not a prime number
Number Properties
- Value:2,509,824
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1001100100110000000000
- Hexadecimal:264C00
Prime Status
2,509,824 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
210 × 3 × 19 × 43
Divisors
Total divisors: 88
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 43, 48, 57, 64, 76, 86, 96, 114, 128, 129, 152, 172, 192, 228, 256, 258, 304, 344, 384, 456, 512, 516, 608, 688, 768, 817, 912, 1024, 1032, 1216, 1376, 1536, 1634, 1824, 2064, 2432, 2451, 2752, 3072, 3268, 3648, 4128, 4864, 4902, 5504, 6536, 7296, 8256, 9728, 9804, 11008, 13072, 14592, 16512, 19456, 19608, 22016, 26144, 29184, 33024, 39216, 44032, 52288, 58368, 66048, 78432, 104576, 132096, 156864, 209152, 313728, 418304, 627456, 836608, 1254912, 2509824
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.