Is 3,737,440 a Prime Number?
No, 3,737,440 is not a prime number
Number Properties
- Value:3,737,440
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:7
- Binary:1110010000011101100000
- Hexadecimal:390760
Prime Status
3,737,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 7 × 47 × 71
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 47, 56, 70, 71, 80, 94, 112, 140, 142, 160, 188, 224, 235, 280, 284, 329, 355, 376, 470, 497, 560, 568, 658, 710, 752, 940, 994, 1120, 1136, 1316, 1420, 1504, 1645, 1880, 1988, 2272, 2485, 2632, 2840, 3290, 3337, 3760, 3976, 4970, 5264, 5680, 6580, 6674, 7520, 7952, 9940, 10528, 11360, 13160, 13348, 15904, 16685, 19880, 23359, 26320, 26696, 33370, 39760, 46718, 52640, 53392, 66740, 79520, 93436, 106784, 116795, 133480, 186872, 233590, 266960, 373744, 467180, 533920, 747488, 934360, 1868720, 3737440
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.