Is 2,464,784 a Prime Number?
No, 2,464,784 is not a prime number
Number Properties
- Value:2,464,784
- Number Type:Even, Positive
- Digit Sum:35
- Total Digits:7
- Binary:1001011001110000010000
- Hexadecimal:259C10
Prime Status
2,464,784 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 7 × 59 × 373
Divisors
Total divisors: 40
1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 373, 413, 472, 746, 826, 944, 1492, 1652, 2611, 2984, 3304, 5222, 5968, 6608, 10444, 20888, 22007, 41776, 44014, 88028, 154049, 176056, 308098, 352112, 616196, 1232392, 2464784
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.