Is 4,007,920 a Prime Number?
No, 4,007,920 is not a prime number
Number Properties
- Value:4,007,920
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:7
- Binary:1111010010011111110000
- Hexadecimal:3D27F0
Prime Status
4,007,920 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 7 × 17 × 421
Divisors
Total divisors: 80
1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 421, 476, 560, 595, 680, 842, 952, 1190, 1360, 1684, 1904, 2105, 2380, 2947, 3368, 4210, 4760, 5894, 6736, 7157, 8420, 9520, 11788, 14314, 14735, 16840, 23576, 28628, 29470, 33680, 35785, 47152, 50099, 57256, 58940, 71570, 100198, 114512, 117880, 143140, 200396, 235760, 250495, 286280, 400792, 500990, 572560, 801584, 1001980, 2003960, 4007920
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.