Is 3,672,120 a Prime Number?
No, 3,672,120 is not a prime number
Number Properties
- Value:3,672,120
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1110000000100000111000
- Hexadecimal:380838
Prime Status
3,672,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 71 × 431
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 431, 568, 710, 852, 862, 1065, 1293, 1420, 1704, 1724, 2130, 2155, 2586, 2840, 3448, 4260, 4310, 5172, 6465, 8520, 8620, 10344, 12930, 17240, 25860, 30601, 51720, 61202, 91803, 122404, 153005, 183606, 244808, 306010, 367212, 459015, 612020, 734424, 918030, 1224040, 1836060, 3672120
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.