Is 3,048,540 a Prime Number?
No, 3,048,540 is not a prime number
Number Properties
- Value:3,048,540
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1011101000010001011100
- Hexadecimal:2E845C
Prime Status
3,048,540 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 11 × 31 × 149
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 31, 33, 44, 55, 60, 62, 66, 93, 110, 124, 132, 149, 155, 165, 186, 220, 298, 310, 330, 341, 372, 447, 465, 596, 620, 660, 682, 745, 894, 930, 1023, 1364, 1490, 1639, 1705, 1788, 1860, 2046, 2235, 2980, 3278, 3410, 4092, 4470, 4619, 4917, 5115, 6556, 6820, 8195, 8940, 9238, 9834, 10230, 13857, 16390, 18476, 19668, 20460, 23095, 24585, 27714, 32780, 46190, 49170, 50809, 55428, 69285, 92380, 98340, 101618, 138570, 152427, 203236, 254045, 277140, 304854, 508090, 609708, 762135, 1016180, 1524270, 3048540
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.