Is 3,477,120 a Prime Number?
No, 3,477,120 is not a prime number
Number Properties
- Value:3,477,120
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101010000111010000000
- Hexadecimal:350E80
Prime Status
3,477,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 3 × 5 × 1811
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1811, 1920, 3622, 5433, 7244, 9055, 10866, 14488, 18110, 21732, 27165, 28976, 36220, 43464, 54330, 57952, 72440, 86928, 108660, 115904, 144880, 173856, 217320, 231808, 289760, 347712, 434640, 579520, 695424, 869280, 1159040, 1738560, 3477120
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.