Is 3,121,404 a Prime Number?
No, 3,121,404 is not a prime number
Number Properties
- Value:3,121,404
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1011111010000011111100
- Hexadecimal:2FA0FC
Prime Status
3,121,404 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 11 × 13 × 17 × 107
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 11, 12, 13, 17, 22, 26, 33, 34, 39, 44, 51, 52, 66, 68, 78, 102, 107, 132, 143, 156, 187, 204, 214, 221, 286, 321, 374, 428, 429, 442, 561, 572, 642, 663, 748, 858, 884, 1122, 1177, 1284, 1326, 1391, 1716, 1819, 2244, 2354, 2431, 2652, 2782, 3531, 3638, 4173, 4708, 4862, 5457, 5564, 7062, 7276, 7293, 8346, 9724, 10914, 14124, 14586, 15301, 16692, 20009, 21828, 23647, 29172, 30602, 40018, 45903, 47294, 60027, 61204, 70941, 80036, 91806, 94588, 120054, 141882, 183612, 240108, 260117, 283764, 520234, 780351, 1040468, 1560702, 3121404
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.