Is 1,362,200 a Prime Number?
No, 1,362,200 is not a prime number
Number Properties
- Value:1,362,200
- Number Type:Even, Positive
- Digit Sum:14
- Total Digits:7
- Binary:101001100100100011000
- Hexadecimal:14C918
Prime Status
1,362,200 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 52 × 72 × 139
Divisors
Total divisors: 72
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 139, 140, 175, 196, 200, 245, 278, 280, 350, 392, 490, 556, 695, 700, 973, 980, 1112, 1225, 1390, 1400, 1946, 1960, 2450, 2780, 3475, 3892, 4865, 4900, 5560, 6811, 6950, 7784, 9730, 9800, 13622, 13900, 19460, 24325, 27244, 27800, 34055, 38920, 48650, 54488, 68110, 97300, 136220, 170275, 194600, 272440, 340550, 681100, 1362200
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.