Is 1,009,827 a Prime Number?
No, 1,009,827 is not a prime number
Number Properties
- Value:1,009,827
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:7
- Binary:11110110100010100011
- Hexadecimal:F68A3
Prime Status
1,009,827 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
34 × 7 × 13 × 137
Divisors
Total divisors: 40
1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 137, 189, 273, 351, 411, 567, 819, 959, 1053, 1233, 1781, 2457, 2877, 3699, 5343, 7371, 8631, 11097, 12467, 16029, 25893, 37401, 48087, 77679, 112203, 144261, 336609, 1009827
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.