Is 1,002,820 a Prime Number?
No, 1,002,820 is not a prime number
Number Properties
- Value:1,002,820
- Number Type:Even, Positive
- Digit Sum:13
- Total Digits:7
- Binary:11110100110101000100
- Hexadecimal:F4D44
Prime Status
1,002,820 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 7 × 13 × 19 × 29
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 10, 13, 14, 19, 20, 26, 28, 29, 35, 38, 52, 58, 65, 70, 76, 91, 95, 116, 130, 133, 140, 145, 182, 190, 203, 247, 260, 266, 290, 364, 377, 380, 406, 455, 494, 532, 551, 580, 665, 754, 812, 910, 988, 1015, 1102, 1235, 1330, 1508, 1729, 1820, 1885, 2030, 2204, 2470, 2639, 2660, 2755, 3458, 3770, 3857, 4060, 4940, 5278, 5510, 6916, 7163, 7540, 7714, 8645, 10556, 11020, 13195, 14326, 15428, 17290, 19285, 26390, 28652, 34580, 35815, 38570, 50141, 52780, 71630, 77140, 100282, 143260, 200564, 250705, 501410, 1002820
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.