Is 3,684,720 a Prime Number?
No, 3,684,720 is not a prime number
Number Properties
- Value:3,684,720
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1110000011100101110000
- Hexadecimal:383970
Prime Status
3,684,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 13 × 1181
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1181, 1560, 2362, 3120, 3543, 4724, 5905, 7086, 9448, 11810, 14172, 15353, 17715, 18896, 23620, 28344, 30706, 35430, 46059, 47240, 56688, 61412, 70860, 76765, 92118, 94480, 122824, 141720, 153530, 184236, 230295, 245648, 283440, 307060, 368472, 460590, 614120, 736944, 921180, 1228240, 1842360, 3684720
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.