Is 1,355,904 a Prime Number?
No, 1,355,904 is not a prime number
Number Properties
- Value:1,355,904
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:101001011000010000000
- Hexadecimal:14B080
Prime Status
1,355,904 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 32 × 11 × 107
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 107, 128, 132, 144, 176, 192, 198, 214, 264, 288, 321, 352, 384, 396, 428, 528, 576, 642, 704, 792, 856, 963, 1056, 1152, 1177, 1284, 1408, 1584, 1712, 1926, 2112, 2354, 2568, 3168, 3424, 3531, 3852, 4224, 4708, 5136, 6336, 6848, 7062, 7704, 9416, 10272, 10593, 12672, 13696, 14124, 15408, 18832, 20544, 21186, 28248, 30816, 37664, 41088, 42372, 56496, 61632, 75328, 84744, 112992, 123264, 150656, 169488, 225984, 338976, 451968, 677952, 1355904
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.