Is 3,267,420 a Prime Number?
No, 3,267,420 is not a prime number
Number Properties
- Value:3,267,420
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1100011101101101011100
- Hexadecimal:31DB5C
Prime Status
3,267,420 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 13 × 59 × 71
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 59, 60, 65, 71, 78, 118, 130, 142, 156, 177, 195, 213, 236, 260, 284, 295, 354, 355, 390, 426, 590, 708, 710, 767, 780, 852, 885, 923, 1065, 1180, 1420, 1534, 1770, 1846, 2130, 2301, 2769, 3068, 3540, 3692, 3835, 4189, 4260, 4602, 4615, 5538, 7670, 8378, 9204, 9230, 11076, 11505, 12567, 13845, 15340, 16756, 18460, 20945, 23010, 25134, 27690, 41890, 46020, 50268, 54457, 55380, 62835, 83780, 108914, 125670, 163371, 217828, 251340, 272285, 326742, 544570, 653484, 816855, 1089140, 1633710, 3267420
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.