Is 3,741,480 a Prime Number?
No, 3,741,480 is not a prime number
Number Properties
- Value:3,741,480
- Number Type:Even, Positive, Triangular
- Digit Sum:27
- Total Digits:7
- Binary:1110010001011100101000
- Hexadecimal:391728
Prime Status
3,741,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 19 × 547
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 547, 570, 684, 760, 855, 1094, 1140, 1368, 1641, 1710, 2188, 2280, 2735, 3282, 3420, 4376, 4923, 5470, 6564, 6840, 8205, 9846, 10393, 10940, 13128, 16410, 19692, 20786, 21880, 24615, 31179, 32820, 39384, 41572, 49230, 51965, 62358, 65640, 83144, 93537, 98460, 103930, 124716, 155895, 187074, 196920, 207860, 249432, 311790, 374148, 415720, 467685, 623580, 748296, 935370, 1247160, 1870740, 3741480
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.