Is 3,987,120 a Prime Number?
No, 3,987,120 is not a prime number
Number Properties
- Value:3,987,120
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1111001101011010110000
- Hexadecimal:3CD6B0
Prime Status
3,987,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 37 × 449
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 449, 555, 592, 740, 888, 898, 1110, 1347, 1480, 1776, 1796, 2220, 2245, 2694, 2960, 3592, 4440, 4490, 5388, 6735, 7184, 8880, 8980, 10776, 13470, 16613, 17960, 21552, 26940, 33226, 35920, 49839, 53880, 66452, 83065, 99678, 107760, 132904, 166130, 199356, 249195, 265808, 332260, 398712, 498390, 664520, 797424, 996780, 1329040, 1993560, 3987120
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.