Is 1,024,400 a Prime Number?
No, 1,024,400 is not a prime number
Number Properties
- Value:1,024,400
- Number Type:Even, Positive
- Digit Sum:11
- Total Digits:7
- Binary:11111010000110010000
- Hexadecimal:FA190
Prime Status
1,024,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 52 × 13 × 197
Divisors
Total divisors: 60
1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 197, 200, 208, 260, 325, 394, 400, 520, 650, 788, 985, 1040, 1300, 1576, 1970, 2561, 2600, 3152, 3940, 4925, 5122, 5200, 7880, 9850, 10244, 12805, 15760, 19700, 20488, 25610, 39400, 40976, 51220, 64025, 78800, 102440, 128050, 204880, 256100, 512200, 1024400
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.