Is 264,576 a Prime Number?
No, 264,576 is not a prime number
Number Properties
- Value:264,576
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:6
- Binary:1000000100110000000
- Hexadecimal:40980
Prime Status
264,576 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 3 × 13 × 53
Divisors
Total divisors: 64
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 53, 64, 78, 96, 104, 106, 128, 156, 159, 192, 208, 212, 312, 318, 384, 416, 424, 624, 636, 689, 832, 848, 1248, 1272, 1378, 1664, 1696, 2067, 2496, 2544, 2756, 3392, 4134, 4992, 5088, 5512, 6784, 8268, 10176, 11024, 16536, 20352, 22048, 33072, 44096, 66144, 88192, 132288, 264576
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.