Is 4,264,624 a Prime Number?
No, 4,264,624 is not a prime number
Number Properties
- Value:4,264,624
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:7
- Binary:10000010001001010110000
- Hexadecimal:4112B0
Prime Status
4,264,624 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 7 × 13 × 29 × 101
Divisors
Total divisors: 80
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 29, 52, 56, 58, 91, 101, 104, 112, 116, 182, 202, 203, 208, 232, 364, 377, 404, 406, 464, 707, 728, 754, 808, 812, 1313, 1414, 1456, 1508, 1616, 1624, 2626, 2639, 2828, 2929, 3016, 3248, 5252, 5278, 5656, 5858, 6032, 9191, 10504, 10556, 11312, 11716, 18382, 20503, 21008, 21112, 23432, 36764, 38077, 41006, 42224, 46864, 73528, 76154, 82012, 147056, 152308, 164024, 266539, 304616, 328048, 533078, 609232, 1066156, 2132312, 4264624
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.