Is 2,567,264 a Prime Number?
No, 2,567,264 is not a prime number
Number Properties
- Value:2,567,264
- Number Type:Even, Positive
- Digit Sum:32
- Total Digits:7
- Binary:1001110010110001100000
- Hexadecimal:272C60
Prime Status
2,567,264 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 7 × 73 × 157
Divisors
Total divisors: 48
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 73, 112, 146, 157, 224, 292, 314, 511, 584, 628, 1022, 1099, 1168, 1256, 2044, 2198, 2336, 2512, 4088, 4396, 5024, 8176, 8792, 11461, 16352, 17584, 22922, 35168, 45844, 80227, 91688, 160454, 183376, 320908, 366752, 641816, 1283632, 2567264
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.