Is 2,738,960 a Prime Number?
No, 2,738,960 is not a prime number
Number Properties
- Value:2,738,960
- Number Type:Even, Positive
- Digit Sum:35
- Total Digits:7
- Binary:1010011100101100010000
- Hexadecimal:29CB10
Prime Status
2,738,960 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 7 × 67 × 73
Divisors
Total divisors: 80
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 67, 70, 73, 80, 112, 134, 140, 146, 268, 280, 292, 335, 365, 469, 511, 536, 560, 584, 670, 730, 938, 1022, 1072, 1168, 1340, 1460, 1876, 2044, 2345, 2555, 2680, 2920, 3752, 4088, 4690, 4891, 5110, 5360, 5840, 7504, 8176, 9380, 9782, 10220, 18760, 19564, 20440, 24455, 34237, 37520, 39128, 40880, 48910, 68474, 78256, 97820, 136948, 171185, 195640, 273896, 342370, 391280, 547792, 684740, 1369480, 2738960
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.