Is 3,002,040 a Prime Number?
No, 3,002,040 is not a prime number
Number Properties
- Value:3,002,040
- Number Type:Even, Positive
- Digit Sum:9
- Total Digits:7
- Binary:1011011100111010111000
- Hexadecimal:2DCEB8
Prime Status
3,002,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 31 × 269
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 31, 36, 40, 45, 60, 62, 72, 90, 93, 120, 124, 155, 180, 186, 248, 269, 279, 310, 360, 372, 465, 538, 558, 620, 744, 807, 930, 1076, 1116, 1240, 1345, 1395, 1614, 1860, 2152, 2232, 2421, 2690, 2790, 3228, 3720, 4035, 4842, 5380, 5580, 6456, 8070, 8339, 9684, 10760, 11160, 12105, 16140, 16678, 19368, 24210, 25017, 32280, 33356, 41695, 48420, 50034, 66712, 75051, 83390, 96840, 100068, 125085, 150102, 166780, 200136, 250170, 300204, 333560, 375255, 500340, 600408, 750510, 1000680, 1501020, 3002040
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.