Is 2,474,400 a Prime Number?
No, 2,474,400 is not a prime number
Number Properties
- Value:2,474,400
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1001011100000110100000
- Hexadecimal:25C1A0
Prime Status
2,474,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 52 × 1031
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1031, 1200, 2062, 2400, 3093, 4124, 5155, 6186, 8248, 10310, 12372, 15465, 16496, 20620, 24744, 25775, 30930, 32992, 41240, 49488, 51550, 61860, 77325, 82480, 98976, 103100, 123720, 154650, 164960, 206200, 247440, 309300, 412400, 494880, 618600, 824800, 1237200, 2474400
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.