Is 1,375,164 a Prime Number?
No, 1,375,164 is not a prime number
Number Properties
- Value:1,375,164
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:101001111101110111100
- Hexadecimal:14FBBC
Prime Status
1,375,164 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 7 × 17 × 107
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 27, 28, 34, 36, 42, 51, 54, 63, 68, 84, 102, 107, 108, 119, 126, 153, 189, 204, 214, 238, 252, 306, 321, 357, 378, 428, 459, 476, 612, 642, 714, 749, 756, 918, 963, 1071, 1284, 1428, 1498, 1819, 1836, 1926, 2142, 2247, 2889, 2996, 3213, 3638, 3852, 4284, 4494, 5457, 5778, 6426, 6741, 7276, 8988, 10914, 11556, 12733, 12852, 13482, 16371, 20223, 21828, 25466, 26964, 32742, 38199, 40446, 49113, 50932, 65484, 76398, 80892, 98226, 114597, 152796, 196452, 229194, 343791, 458388, 687582, 1375164
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.