Is 3,478,000 a Prime Number?
No, 3,478,000 is not a prime number
Number Properties
- Value:3,478,000
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:7
- Binary:1101010001000111110000
- Hexadecimal:3511F0
Prime Status
3,478,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 53 × 37 × 47
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 16, 20, 25, 37, 40, 47, 50, 74, 80, 94, 100, 125, 148, 185, 188, 200, 235, 250, 296, 370, 376, 400, 470, 500, 592, 740, 752, 925, 940, 1000, 1175, 1480, 1739, 1850, 1880, 2000, 2350, 2960, 3478, 3700, 3760, 4625, 4700, 5875, 6956, 7400, 8695, 9250, 9400, 11750, 13912, 14800, 17390, 18500, 18800, 23500, 27824, 34780, 37000, 43475, 47000, 69560, 74000, 86950, 94000, 139120, 173900, 217375, 347800, 434750, 695600, 869500, 1739000, 3478000
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.