Is 4,004,448 a Prime Number?
No, 4,004,448 is not a prime number
Number Properties
- Value:4,004,448
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1111010001101001100000
- Hexadecimal:3D1A60
Prime Status
4,004,448 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 7 × 59 × 101
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 59, 84, 96, 101, 112, 118, 168, 177, 202, 224, 236, 303, 336, 354, 404, 413, 472, 606, 672, 707, 708, 808, 826, 944, 1212, 1239, 1414, 1416, 1616, 1652, 1888, 2121, 2424, 2478, 2828, 2832, 3232, 3304, 4242, 4848, 4956, 5656, 5664, 5959, 6608, 8484, 9696, 9912, 11312, 11918, 13216, 16968, 17877, 19824, 22624, 23836, 33936, 35754, 39648, 41713, 47672, 67872, 71508, 83426, 95344, 125139, 143016, 166852, 190688, 250278, 286032, 333704, 500556, 572064, 667408, 1001112, 1334816, 2002224, 4004448
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.