Is 2,637,264 a Prime Number?
No, 2,637,264 is not a prime number
Number Properties
- Value:2,637,264
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1010000011110111010000
- Hexadecimal:283DD0
Prime Status
2,637,264 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 7 × 47 × 167
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 47, 48, 56, 84, 94, 112, 141, 167, 168, 188, 282, 329, 334, 336, 376, 501, 564, 658, 668, 752, 987, 1002, 1128, 1169, 1316, 1336, 1974, 2004, 2256, 2338, 2632, 2672, 3507, 3948, 4008, 4676, 5264, 7014, 7849, 7896, 8016, 9352, 14028, 15698, 15792, 18704, 23547, 28056, 31396, 47094, 54943, 56112, 62792, 94188, 109886, 125584, 164829, 188376, 219772, 329658, 376752, 439544, 659316, 879088, 1318632, 2637264
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.