Is 1,194,120 a Prime Number?
No, 1,194,120 is not a prime number
Number Properties
- Value:1,194,120
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:100100011100010001000
- Hexadecimal:123888
Prime Status
1,194,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 31 × 107
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 31, 36, 40, 45, 60, 62, 72, 90, 93, 107, 120, 124, 155, 180, 186, 214, 248, 279, 310, 321, 360, 372, 428, 465, 535, 558, 620, 642, 744, 856, 930, 963, 1070, 1116, 1240, 1284, 1395, 1605, 1860, 1926, 2140, 2232, 2568, 2790, 3210, 3317, 3720, 3852, 4280, 4815, 5580, 6420, 6634, 7704, 9630, 9951, 11160, 12840, 13268, 16585, 19260, 19902, 26536, 29853, 33170, 38520, 39804, 49755, 59706, 66340, 79608, 99510, 119412, 132680, 149265, 199020, 238824, 298530, 398040, 597060, 1194120
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.