Is 3,048,740 a Prime Number?
No, 3,048,740 is not a prime number
Number Properties
- Value:3,048,740
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1011101000010100100100
- Hexadecimal:2E8524
Prime Status
3,048,740 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 19 × 71 × 113
Divisors
Total divisors: 48
1, 2, 4, 5, 10, 19, 20, 38, 71, 76, 95, 113, 142, 190, 226, 284, 355, 380, 452, 565, 710, 1130, 1349, 1420, 2147, 2260, 2698, 4294, 5396, 6745, 8023, 8588, 10735, 13490, 16046, 21470, 26980, 32092, 40115, 42940, 80230, 152437, 160460, 304874, 609748, 762185, 1524370, 3048740
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.