Is 4,002,180 a Prime Number?
No, 4,002,180 is not a prime number
Number Properties
- Value:4,002,180
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1111010001000110000100
- Hexadecimal:3D1184
Prime Status
4,002,180 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 7 × 13 × 733
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 733, 780, 910, 1092, 1365, 1466, 1820, 2199, 2730, 2932, 3665, 4398, 5131, 5460, 7330, 8796, 9529, 10262, 10995, 14660, 15393, 19058, 20524, 21990, 25655, 28587, 30786, 38116, 43980, 47645, 51310, 57174, 61572, 66703, 76965, 95290, 102620, 114348, 133406, 142935, 153930, 190580, 200109, 266812, 285870, 307860, 333515, 400218, 571740, 667030, 800436, 1000545, 1334060, 2001090, 4002180
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.