Is 4,006,730 a Prime Number?
No, 4,006,730 is not a prime number
Number Properties
- Value:4,006,730
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1111010010001101001010
- Hexadecimal:3D234A
Prime Status
4,006,730 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 72 × 13 × 17 × 37
Divisors
Total divisors: 96
1, 2, 5, 7, 10, 13, 14, 17, 26, 34, 35, 37, 49, 65, 70, 74, 85, 91, 98, 119, 130, 170, 182, 185, 221, 238, 245, 259, 370, 442, 455, 481, 490, 518, 595, 629, 637, 833, 910, 962, 1105, 1190, 1258, 1274, 1295, 1547, 1666, 1813, 2210, 2405, 2590, 3094, 3145, 3185, 3367, 3626, 4165, 4403, 4810, 6290, 6370, 6734, 7735, 8177, 8330, 8806, 9065, 10829, 15470, 16354, 16835, 18130, 21658, 22015, 23569, 30821, 33670, 40885, 44030, 47138, 54145, 57239, 61642, 81770, 108290, 114478, 117845, 154105, 235690, 286195, 308210, 400673, 572390, 801346, 2003365, 4006730
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.