Is 1,193,136 a Prime Number?
No, 1,193,136 is not a prime number
Number Properties
- Value:1,193,136
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:100100011010010110000
- Hexadecimal:1234B0
Prime Status
1,193,136 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 7 × 53 × 67
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 53, 56, 67, 84, 106, 112, 134, 159, 168, 201, 212, 268, 318, 336, 371, 402, 424, 469, 536, 636, 742, 804, 848, 938, 1072, 1113, 1272, 1407, 1484, 1608, 1876, 2226, 2544, 2814, 2968, 3216, 3551, 3752, 4452, 5628, 5936, 7102, 7504, 8904, 10653, 11256, 14204, 17808, 21306, 22512, 24857, 28408, 42612, 49714, 56816, 74571, 85224, 99428, 149142, 170448, 198856, 298284, 397712, 596568, 1193136
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.