Is 1,442,480 a Prime Number?
No, 1,442,480 is not a prime number
Number Properties
- Value:1,442,480
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:101100000001010110000
- Hexadecimal:1602B0
Prime Status
1,442,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 13 × 19 × 73
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 13, 16, 19, 20, 26, 38, 40, 52, 65, 73, 76, 80, 95, 104, 130, 146, 152, 190, 208, 247, 260, 292, 304, 365, 380, 494, 520, 584, 730, 760, 949, 988, 1040, 1168, 1235, 1387, 1460, 1520, 1898, 1976, 2470, 2774, 2920, 3796, 3952, 4745, 4940, 5548, 5840, 6935, 7592, 9490, 9880, 11096, 13870, 15184, 18031, 18980, 19760, 22192, 27740, 36062, 37960, 55480, 72124, 75920, 90155, 110960, 144248, 180310, 288496, 360620, 721240, 1442480
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.