Is 3,648,720 a Prime Number?
No, 3,648,720 is not a prime number
Number Properties
- Value:3,648,720
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1101111010110011010000
- Hexadecimal:37ACD0
Prime Status
3,648,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 23 × 661
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 661, 690, 920, 1104, 1322, 1380, 1840, 1983, 2644, 2760, 3305, 3966, 5288, 5520, 6610, 7932, 9915, 10576, 13220, 15203, 15864, 19830, 26440, 30406, 31728, 39660, 45609, 52880, 60812, 76015, 79320, 91218, 121624, 152030, 158640, 182436, 228045, 243248, 304060, 364872, 456090, 608120, 729744, 912180, 1216240, 1824360, 3648720
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.