Is 1,406,104 a Prime Number?
No, 1,406,104 is not a prime number
Number Properties
- Value:1,406,104
- Number Type:Even, Positive
- Digit Sum:16
- Total Digits:7
- Binary:101010111010010011000
- Hexadecimal:157498
Prime Status
1,406,104 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 72 × 17 × 211
Divisors
Total divisors: 48
1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 211, 238, 392, 422, 476, 833, 844, 952, 1477, 1666, 1688, 2954, 3332, 3587, 5908, 6664, 7174, 10339, 11816, 14348, 20678, 25109, 28696, 41356, 50218, 82712, 100436, 175763, 200872, 351526, 703052, 1406104
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.