Is 3,484,000 a Prime Number?
No, 3,484,000 is not a prime number
Number Properties
- Value:3,484,000
- Number Type:Even, Positive
- Digit Sum:19
- Total Digits:7
- Binary:1101010010100101100000
- Hexadecimal:352960
Prime Status
3,484,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 53 × 13 × 67
Divisors
Total divisors: 96
1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 67, 80, 100, 104, 125, 130, 134, 160, 200, 208, 250, 260, 268, 325, 335, 400, 416, 500, 520, 536, 650, 670, 800, 871, 1000, 1040, 1072, 1300, 1340, 1625, 1675, 1742, 2000, 2080, 2144, 2600, 2680, 3250, 3350, 3484, 4000, 4355, 5200, 5360, 6500, 6700, 6968, 8375, 8710, 10400, 10720, 13000, 13400, 13936, 16750, 17420, 21775, 26000, 26800, 27872, 33500, 34840, 43550, 52000, 53600, 67000, 69680, 87100, 108875, 134000, 139360, 174200, 217750, 268000, 348400, 435500, 696800, 871000, 1742000, 3484000
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.