Is 1,408,440 a Prime Number?
No, 1,408,440 is not a prime number
Number Properties
- Value:1,408,440
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:101010111110110111000
- Hexadecimal:157DB8
Prime Status
1,408,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 112 × 97
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 97, 110, 120, 121, 132, 165, 194, 220, 242, 264, 291, 330, 363, 388, 440, 484, 485, 582, 605, 660, 726, 776, 968, 970, 1067, 1164, 1210, 1320, 1452, 1455, 1815, 1940, 2134, 2328, 2420, 2904, 2910, 3201, 3630, 3880, 4268, 4840, 5335, 5820, 6402, 7260, 8536, 10670, 11640, 11737, 12804, 14520, 16005, 21340, 23474, 25608, 32010, 35211, 42680, 46948, 58685, 64020, 70422, 93896, 117370, 128040, 140844, 176055, 234740, 281688, 352110, 469480, 704220, 1408440
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.