Is 3,967,824 a Prime Number?
No, 3,967,824 is not a prime number
Number Properties
- Value:3,967,824
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1111001000101101010000
- Hexadecimal:3C8B50
Prime Status
3,967,824 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 73 × 241
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 241, 294, 336, 343, 392, 482, 588, 686, 723, 784, 964, 1029, 1176, 1372, 1446, 1687, 1928, 2058, 2352, 2744, 2892, 3374, 3856, 4116, 5061, 5488, 5784, 6748, 8232, 10122, 11568, 11809, 13496, 16464, 20244, 23618, 26992, 35427, 40488, 47236, 70854, 80976, 82663, 94472, 141708, 165326, 188944, 247989, 283416, 330652, 495978, 566832, 661304, 991956, 1322608, 1983912, 3967824
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.