Is 3,481,020 a Prime Number?
No, 3,481,020 is not a prime number
Number Properties
- Value:3,481,020
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101010001110110111100
- Hexadecimal:351DBC
Prime Status
3,481,020 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 83 × 233
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 83, 90, 166, 180, 233, 249, 332, 415, 466, 498, 699, 747, 830, 932, 996, 1165, 1245, 1398, 1494, 1660, 2097, 2330, 2490, 2796, 2988, 3495, 3735, 4194, 4660, 4980, 6990, 7470, 8388, 10485, 13980, 14940, 19339, 20970, 38678, 41940, 58017, 77356, 96695, 116034, 174051, 193390, 232068, 290085, 348102, 386780, 580170, 696204, 870255, 1160340, 1740510, 3481020
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.