Is 2,438,424 a Prime Number?
No, 2,438,424 is not a prime number
Number Properties
- Value:2,438,424
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1001010011010100011000
- Hexadecimal:253518
Prime Status
2,438,424 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 34 × 53 × 71
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 53, 54, 71, 72, 81, 106, 108, 142, 159, 162, 212, 213, 216, 284, 318, 324, 424, 426, 477, 568, 636, 639, 648, 852, 954, 1272, 1278, 1431, 1704, 1908, 1917, 2556, 2862, 3763, 3816, 3834, 4293, 5112, 5724, 5751, 7526, 7668, 8586, 11289, 11448, 11502, 15052, 15336, 17172, 22578, 23004, 30104, 33867, 34344, 45156, 46008, 67734, 90312, 101601, 135468, 203202, 270936, 304803, 406404, 609606, 812808, 1219212, 2438424
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.