Is 1,002,144 a Prime Number?
No, 1,002,144 is not a prime number
Number Properties
- Value:1,002,144
- Number Type:Even, Positive
- Digit Sum:12
- Total Digits:7
- Binary:11110100101010100000
- Hexadecimal:F4AA0
Prime Status
1,002,144 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 11 × 13 × 73
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 32, 33, 39, 44, 48, 52, 66, 73, 78, 88, 96, 104, 132, 143, 146, 156, 176, 208, 219, 264, 286, 292, 312, 352, 416, 429, 438, 528, 572, 584, 624, 803, 858, 876, 949, 1056, 1144, 1168, 1248, 1606, 1716, 1752, 1898, 2288, 2336, 2409, 2847, 3212, 3432, 3504, 3796, 4576, 4818, 5694, 6424, 6864, 7008, 7592, 9636, 10439, 11388, 12848, 13728, 15184, 19272, 20878, 22776, 25696, 30368, 31317, 38544, 41756, 45552, 62634, 77088, 83512, 91104, 125268, 167024, 250536, 334048, 501072, 1002144
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.