Is 3,088,020 a Prime Number?
No, 3,088,020 is not a prime number
Number Properties
- Value:3,088,020
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1011110001111010010100
- Hexadecimal:2F1E94
Prime Status
3,088,020 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 13 × 37 × 107
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 37, 39, 52, 60, 65, 74, 78, 107, 111, 130, 148, 156, 185, 195, 214, 222, 260, 321, 370, 390, 428, 444, 481, 535, 555, 642, 740, 780, 962, 1070, 1110, 1284, 1391, 1443, 1605, 1924, 2140, 2220, 2405, 2782, 2886, 3210, 3959, 4173, 4810, 5564, 5772, 6420, 6955, 7215, 7918, 8346, 9620, 11877, 13910, 14430, 15836, 16692, 19795, 20865, 23754, 27820, 28860, 39590, 41730, 47508, 51467, 59385, 79180, 83460, 102934, 118770, 154401, 205868, 237540, 257335, 308802, 514670, 617604, 772005, 1029340, 1544010, 3088020
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.