Is 3,462,120 a Prime Number?
No, 3,462,120 is not a prime number
Number Properties
- Value:3,462,120
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101001101001111101000
- Hexadecimal:34D3E8
Prime Status
3,462,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 59 × 163
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 59, 60, 72, 90, 118, 120, 163, 177, 180, 236, 295, 326, 354, 360, 472, 489, 531, 590, 652, 708, 815, 885, 978, 1062, 1180, 1304, 1416, 1467, 1630, 1770, 1956, 2124, 2360, 2445, 2655, 2934, 3260, 3540, 3912, 4248, 4890, 5310, 5868, 6520, 7080, 7335, 9617, 9780, 10620, 11736, 14670, 19234, 19560, 21240, 28851, 29340, 38468, 48085, 57702, 58680, 76936, 86553, 96170, 115404, 144255, 173106, 192340, 230808, 288510, 346212, 384680, 432765, 577020, 692424, 865530, 1154040, 1731060, 3462120
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.