Is 4,004,364 a Prime Number?
No, 4,004,364 is not a prime number
Number Properties
- Value:4,004,364
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1111010001101000001100
- Hexadecimal:3D1A0C
Prime Status
4,004,364 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 13 × 19 × 193
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 13, 14, 19, 21, 26, 28, 38, 39, 42, 52, 57, 76, 78, 84, 91, 114, 133, 156, 182, 193, 228, 247, 266, 273, 364, 386, 399, 494, 532, 546, 579, 741, 772, 798, 988, 1092, 1158, 1351, 1482, 1596, 1729, 2316, 2509, 2702, 2964, 3458, 3667, 4053, 5018, 5187, 5404, 6916, 7334, 7527, 8106, 10036, 10374, 11001, 14668, 15054, 16212, 17563, 20748, 22002, 25669, 30108, 35126, 44004, 47671, 51338, 52689, 70252, 77007, 95342, 102676, 105378, 143013, 154014, 190684, 210756, 286026, 308028, 333697, 572052, 667394, 1001091, 1334788, 2002182, 4004364
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.