Is 4,867,824 a Prime Number?
No, 4,867,824 is not a prime number
Number Properties
- Value:4,867,824
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:10010100100011011110000
- Hexadecimal:4A46F0
Prime Status
4,867,824 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 13 × 29 × 269
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 29, 39, 48, 52, 58, 78, 87, 104, 116, 156, 174, 208, 232, 269, 312, 348, 377, 464, 538, 624, 696, 754, 807, 1076, 1131, 1392, 1508, 1614, 2152, 2262, 3016, 3228, 3497, 4304, 4524, 6032, 6456, 6994, 7801, 9048, 10491, 12912, 13988, 15602, 18096, 20982, 23403, 27976, 31204, 41964, 46806, 55952, 62408, 83928, 93612, 101413, 124816, 167856, 187224, 202826, 304239, 374448, 405652, 608478, 811304, 1216956, 1622608, 2433912, 4867824
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.