Is 1,202,004 a Prime Number?
No, 1,202,004 is not a prime number
Number Properties
- Value:1,202,004
- Number Type:Even, Positive
- Digit Sum:9
- Total Digits:7
- Binary:100100101011101010100
- Hexadecimal:125754
Prime Status
1,202,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 173 × 193
Divisors
Total divisors: 36
1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 193, 346, 386, 519, 579, 692, 772, 1038, 1158, 1557, 1737, 2076, 2316, 3114, 3474, 6228, 6948, 33389, 66778, 100167, 133556, 200334, 300501, 400668, 601002, 1202004
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.