Is 1,342,000 a Prime Number?
No, 1,342,000 is not a prime number
Number Properties
- Value:1,342,000
- Number Type:Even, Positive
- Digit Sum:10
- Total Digits:7
- Binary:101000111101000110000
- Hexadecimal:147A30
Prime Status
1,342,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 53 × 11 × 61
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 61, 80, 88, 100, 110, 122, 125, 176, 200, 220, 244, 250, 275, 305, 400, 440, 488, 500, 550, 610, 671, 880, 976, 1000, 1100, 1220, 1342, 1375, 1525, 2000, 2200, 2440, 2684, 2750, 3050, 3355, 4400, 4880, 5368, 5500, 6100, 6710, 7625, 10736, 11000, 12200, 13420, 15250, 16775, 22000, 24400, 26840, 30500, 33550, 53680, 61000, 67100, 83875, 122000, 134200, 167750, 268400, 335500, 671000, 1342000
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.