Is 2,642,016 a Prime Number?
No, 2,642,016 is not a prime number
Number Properties
- Value:2,642,016
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1010000101000001100000
- Hexadecimal:285060
Prime Status
2,642,016 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 13 × 29 × 73
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 29, 32, 39, 48, 52, 58, 73, 78, 87, 96, 104, 116, 146, 156, 174, 208, 219, 232, 292, 312, 348, 377, 416, 438, 464, 584, 624, 696, 754, 876, 928, 949, 1131, 1168, 1248, 1392, 1508, 1752, 1898, 2117, 2262, 2336, 2784, 2847, 3016, 3504, 3796, 4234, 4524, 5694, 6032, 6351, 7008, 7592, 8468, 9048, 11388, 12064, 12702, 15184, 16936, 18096, 22776, 25404, 27521, 30368, 33872, 36192, 45552, 50808, 55042, 67744, 82563, 91104, 101616, 110084, 165126, 203232, 220168, 330252, 440336, 660504, 880672, 1321008, 2642016
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.