Is 1,009,824 a Prime Number?
No, 1,009,824 is not a prime number
Number Properties
- Value:1,009,824
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:11110110100010100000
- Hexadecimal:F68A0
Prime Status
1,009,824 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 67 × 157
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 157, 201, 268, 314, 402, 471, 536, 628, 804, 942, 1072, 1256, 1608, 1884, 2144, 2512, 3216, 3768, 5024, 6432, 7536, 10519, 15072, 21038, 31557, 42076, 63114, 84152, 126228, 168304, 252456, 336608, 504912, 1009824
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.