Is 4,476,720 a Prime Number?
No, 4,476,720 is not a prime number
Number Properties
- Value:4,476,720
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:10001000100111100110000
- Hexadecimal:444F30
Prime Status
4,476,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 23 × 811
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 811, 920, 1104, 1380, 1622, 1840, 2433, 2760, 3244, 4055, 4866, 5520, 6488, 8110, 9732, 12165, 12976, 16220, 18653, 19464, 24330, 32440, 37306, 38928, 48660, 55959, 64880, 74612, 93265, 97320, 111918, 149224, 186530, 194640, 223836, 279795, 298448, 373060, 447672, 559590, 746120, 895344, 1119180, 1492240, 2238360, 4476720
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.