Is 4,008,480 a Prime Number?
No, 4,008,480 is not a prime number
Number Properties
- Value:4,008,480
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1111010010101000100000
- Hexadecimal:3D2A20
Prime Status
4,008,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 7 × 1193
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1193, 1680, 2386, 3360, 3579, 4772, 5965, 7158, 8351, 9544, 11930, 14316, 16702, 17895, 19088, 23860, 25053, 28632, 33404, 35790, 38176, 41755, 47720, 50106, 57264, 66808, 71580, 83510, 95440, 100212, 114528, 125265, 133616, 143160, 167020, 190880, 200424, 250530, 267232, 286320, 334040, 400848, 501060, 572640, 668080, 801696, 1002120, 1336160, 2004240, 4008480
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.