Is 4,037,264 a Prime Number?
No, 4,037,264 is not a prime number
Number Properties
- Value:4,037,264
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1111011001101010010000
- Hexadecimal:3D9A90
Prime Status
4,037,264 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 7 × 11 × 29 × 113
Divisors
Total divisors: 80
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 29, 44, 56, 58, 77, 88, 112, 113, 116, 154, 176, 203, 226, 232, 308, 319, 406, 452, 464, 616, 638, 791, 812, 904, 1232, 1243, 1276, 1582, 1624, 1808, 2233, 2486, 2552, 3164, 3248, 3277, 4466, 4972, 5104, 6328, 6554, 8701, 8932, 9944, 12656, 13108, 17402, 17864, 19888, 22939, 26216, 34804, 35728, 36047, 45878, 52432, 69608, 72094, 91756, 139216, 144188, 183512, 252329, 288376, 367024, 504658, 576752, 1009316, 2018632, 4037264
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.