Is 3,480,120 a Prime Number?
No, 3,480,120 is not a prime number
Number Properties
- Value:3,480,120
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101010001101000111000
- Hexadecimal:351A38
Prime Status
3,480,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 7 × 1381
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 1381, 2520, 2762, 4143, 5524, 6905, 8286, 9667, 11048, 12429, 13810, 16572, 19334, 20715, 24858, 27620, 29001, 33144, 38668, 41430, 48335, 49716, 55240, 58002, 62145, 77336, 82860, 87003, 96670, 99432, 116004, 124290, 145005, 165720, 174006, 193340, 232008, 248580, 290010, 348012, 386680, 435015, 497160, 580020, 696024, 870030, 1160040, 1740060, 3480120
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.