Is 4,964,000 a Prime Number?
No, 4,964,000 is not a prime number
Number Properties
- Value:4,964,000
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:10010111011111010100000
- Hexadecimal:4BBEA0
Prime Status
4,964,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 53 × 17 × 73
Divisors
Total divisors: 96
1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 68, 73, 80, 85, 100, 125, 136, 146, 160, 170, 200, 250, 272, 292, 340, 365, 400, 425, 500, 544, 584, 680, 730, 800, 850, 1000, 1168, 1241, 1360, 1460, 1700, 1825, 2000, 2125, 2336, 2482, 2720, 2920, 3400, 3650, 4000, 4250, 4964, 5840, 6205, 6800, 7300, 8500, 9125, 9928, 11680, 12410, 13600, 14600, 17000, 18250, 19856, 24820, 29200, 31025, 34000, 36500, 39712, 49640, 58400, 62050, 68000, 73000, 99280, 124100, 146000, 155125, 198560, 248200, 292000, 310250, 496400, 620500, 992800, 1241000, 2482000, 4964000
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.