Is 1,342,080 a Prime Number?
No, 1,342,080 is not a prime number
Number Properties
- Value:1,342,080
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:101000111101010000000
- Hexadecimal:147A80
Prime Status
1,342,080 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 32 × 5 × 233
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 233, 240, 288, 320, 360, 384, 466, 480, 576, 640, 699, 720, 932, 960, 1152, 1165, 1398, 1440, 1864, 1920, 2097, 2330, 2796, 2880, 3495, 3728, 4194, 4660, 5592, 5760, 6990, 7456, 8388, 9320, 10485, 11184, 13980, 14912, 16776, 18640, 20970, 22368, 27960, 29824, 33552, 37280, 41940, 44736, 55920, 67104, 74560, 83880, 89472, 111840, 134208, 149120, 167760, 223680, 268416, 335520, 447360, 671040, 1342080
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.