Is 106,764 a Prime Number?
No, 106,764 is not a prime number
Number Properties
- Value:106,764
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:6
- Binary:11010000100001100
- Hexadecimal:1A10C
Prime Status
106,764 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 31 × 41
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 41, 42, 62, 82, 84, 93, 123, 124, 164, 186, 217, 246, 287, 372, 434, 492, 574, 651, 861, 868, 1148, 1271, 1302, 1722, 2542, 2604, 3444, 3813, 5084, 7626, 8897, 15252, 17794, 26691, 35588, 53382, 106764
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.