Is 3,121,440 a Prime Number?
No, 3,121,440 is not a prime number
Number Properties
- Value:3,121,440
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1011111010000100100000
- Hexadecimal:2FA120
Prime Status
3,121,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 7 × 929
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, 929, 1120, 1680, 1858, 2787, 3360, 3716, 4645, 5574, 6503, 7432, 9290, 11148, 13006, 13935, 14864, 18580, 19509, 22296, 26012, 27870, 29728, 32515, 37160, 39018, 44592, 52024, 55740, 65030, 74320, 78036, 89184, 97545, 104048, 111480, 130060, 148640, 156072, 195090, 208096, 222960, 260120, 312144, 390180, 445920, 520240, 624288, 780360, 1040480, 1560720, 3121440
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.