Is 1,377,120 a Prime Number?
No, 1,377,120 is not a prime number
Number Properties
- Value:1,377,120
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:101010000001101100000
- Hexadecimal:150360
Prime Status
1,377,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 19 × 151
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 151, 152, 160, 190, 228, 240, 285, 302, 304, 380, 453, 456, 480, 570, 604, 608, 755, 760, 906, 912, 1140, 1208, 1510, 1520, 1812, 1824, 2265, 2280, 2416, 2869, 3020, 3040, 3624, 4530, 4560, 4832, 5738, 6040, 7248, 8607, 9060, 9120, 11476, 12080, 14345, 14496, 17214, 18120, 22952, 24160, 28690, 34428, 36240, 43035, 45904, 57380, 68856, 72480, 86070, 91808, 114760, 137712, 172140, 229520, 275424, 344280, 459040, 688560, 1377120
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.