Is 1,331,264 a Prime Number?
No, 1,331,264 is not a prime number
Number Properties
- Value:1,331,264
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:101000101000001000000
- Hexadecimal:145040
Prime Status
1,331,264 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 11 × 31 × 61
Divisors
Total divisors: 56
1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 61, 62, 64, 88, 122, 124, 176, 244, 248, 341, 352, 488, 496, 671, 682, 704, 976, 992, 1342, 1364, 1891, 1952, 1984, 2684, 2728, 3782, 3904, 5368, 5456, 7564, 10736, 10912, 15128, 20801, 21472, 21824, 30256, 41602, 42944, 60512, 83204, 121024, 166408, 332816, 665632, 1331264
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.