Is 3,004,920 a Prime Number?
No, 3,004,920 is not a prime number
Number Properties
- Value:3,004,920
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1011011101100111111000
- Hexadecimal:2DD9F8
Prime Status
3,004,920 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 17 × 491
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 491, 510, 612, 680, 765, 982, 1020, 1224, 1473, 1530, 1964, 2040, 2455, 2946, 3060, 3928, 4419, 4910, 5892, 6120, 7365, 8347, 8838, 9820, 11784, 14730, 16694, 17676, 19640, 22095, 25041, 29460, 33388, 35352, 41735, 44190, 50082, 58920, 66776, 75123, 83470, 88380, 100164, 125205, 150246, 166940, 176760, 200328, 250410, 300492, 333880, 375615, 500820, 600984, 751230, 1001640, 1502460, 3004920
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.