Is 1,008,480 a Prime Number?
No, 1,008,480 is not a prime number
Number Properties
- Value:1,008,480
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:11110110001101100000
- Hexadecimal:F6360
Prime Status
1,008,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 11 × 191
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 191, 220, 240, 264, 330, 352, 382, 440, 480, 528, 573, 660, 764, 880, 955, 1056, 1146, 1320, 1528, 1760, 1910, 2101, 2292, 2640, 2865, 3056, 3820, 4202, 4584, 5280, 5730, 6112, 6303, 7640, 8404, 9168, 10505, 11460, 12606, 15280, 16808, 18336, 21010, 22920, 25212, 30560, 31515, 33616, 42020, 45840, 50424, 63030, 67232, 84040, 91680, 100848, 126060, 168080, 201696, 252120, 336160, 504240, 1008480
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.