Is 3,009,504 a Prime Number?
No, 3,009,504 is not a prime number
Number Properties
- Value:3,009,504
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1011011110101111100000
- Hexadecimal:2DEBE0
Prime Status
3,009,504 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 23 × 29 × 47
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 29, 32, 46, 47, 48, 58, 69, 87, 92, 94, 96, 116, 138, 141, 174, 184, 188, 232, 276, 282, 348, 368, 376, 464, 552, 564, 667, 696, 736, 752, 928, 1081, 1104, 1128, 1334, 1363, 1392, 1504, 2001, 2162, 2208, 2256, 2668, 2726, 2784, 3243, 4002, 4089, 4324, 4512, 5336, 5452, 6486, 8004, 8178, 8648, 10672, 10904, 12972, 16008, 16356, 17296, 21344, 21808, 25944, 31349, 32016, 32712, 34592, 43616, 51888, 62698, 64032, 65424, 94047, 103776, 125396, 130848, 188094, 250792, 376188, 501584, 752376, 1003168, 1504752, 3009504
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.