Is 4,013,020 a Prime Number?
No, 4,013,020 is not a prime number
Number Properties
- Value:4,013,020
- Number Type:Even, Positive
- Digit Sum:10
- Total Digits:7
- Binary:1111010011101111011100
- Hexadecimal:3D3BDC
Prime Status
4,013,020 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 11 × 17 × 29 × 37
Divisors
Total divisors: 96
1, 2, 4, 5, 10, 11, 17, 20, 22, 29, 34, 37, 44, 55, 58, 68, 74, 85, 110, 116, 145, 148, 170, 185, 187, 220, 290, 319, 340, 370, 374, 407, 493, 580, 629, 638, 740, 748, 814, 935, 986, 1073, 1258, 1276, 1595, 1628, 1870, 1972, 2035, 2146, 2465, 2516, 3145, 3190, 3740, 4070, 4292, 4930, 5365, 5423, 6290, 6380, 6919, 8140, 9860, 10730, 10846, 11803, 12580, 13838, 18241, 21460, 21692, 23606, 27115, 27676, 34595, 36482, 47212, 54230, 59015, 69190, 72964, 91205, 108460, 118030, 138380, 182410, 200651, 236060, 364820, 401302, 802604, 1003255, 2006510, 4013020
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.