Is 3,630,240 a Prime Number?
No, 3,630,240 is not a prime number
Number Properties
- Value:3,630,240
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101110110010010100000
- Hexadecimal:3764A0
Prime Status
3,630,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 32 × 5 × 2521
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440, 2521, 5042, 7563, 10084, 12605, 15126, 20168, 22689, 25210, 30252, 37815, 40336, 45378, 50420, 60504, 75630, 80672, 90756, 100840, 113445, 121008, 151260, 181512, 201680, 226890, 242016, 302520, 363024, 403360, 453780, 605040, 726048, 907560, 1210080, 1815120, 3630240
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.