Is 1,337,120 a Prime Number?
No, 1,337,120 is not a prime number
Number Properties
- Value:1,337,120
- Number Type:Even, Positive
- Digit Sum:17
- Total Digits:7
- Binary:101000110011100100000
- Hexadecimal:146720
Prime Status
1,337,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 61 × 137
Divisors
Total divisors: 48
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 137, 160, 244, 274, 305, 488, 548, 610, 685, 976, 1096, 1220, 1370, 1952, 2192, 2440, 2740, 4384, 4880, 5480, 8357, 9760, 10960, 16714, 21920, 33428, 41785, 66856, 83570, 133712, 167140, 267424, 334280, 668560, 1337120
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.