Is 3,628,400 a Prime Number?
No, 3,628,400 is not a prime number
Number Properties
- Value:3,628,400
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:1101110101110101110000
- Hexadecimal:375D70
Prime Status
3,628,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 52 × 47 × 193
Divisors
Total divisors: 60
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 47, 50, 80, 94, 100, 188, 193, 200, 235, 376, 386, 400, 470, 752, 772, 940, 965, 1175, 1544, 1880, 1930, 2350, 3088, 3760, 3860, 4700, 4825, 7720, 9071, 9400, 9650, 15440, 18142, 18800, 19300, 36284, 38600, 45355, 72568, 77200, 90710, 145136, 181420, 226775, 362840, 453550, 725680, 907100, 1814200, 3628400
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.