Is 3,480,820 a Prime Number?
No, 3,480,820 is not a prime number
Number Properties
- Value:3,480,820
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:7
- Binary:1101010001110011110100
- Hexadecimal:351CF4
Prime Status
3,480,820 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 7 × 232 × 47
Divisors
Total divisors: 72
1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 47, 70, 92, 94, 115, 140, 161, 188, 230, 235, 322, 329, 460, 470, 529, 644, 658, 805, 940, 1058, 1081, 1316, 1610, 1645, 2116, 2162, 2645, 3220, 3290, 3703, 4324, 5290, 5405, 6580, 7406, 7567, 10580, 10810, 14812, 15134, 18515, 21620, 24863, 30268, 37030, 37835, 49726, 74060, 75670, 99452, 124315, 151340, 174041, 248630, 348082, 497260, 696164, 870205, 1740410, 3480820
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.