Is 3,137,820 a Prime Number?
No, 3,137,820 is not a prime number
Number Properties
- Value:3,137,820
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1011111110000100011100
- Hexadecimal:2FE11C
Prime Status
3,137,820 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 7 × 31 × 241
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 31, 35, 42, 60, 62, 70, 84, 93, 105, 124, 140, 155, 186, 210, 217, 241, 310, 372, 420, 434, 465, 482, 620, 651, 723, 868, 930, 964, 1085, 1205, 1302, 1446, 1687, 1860, 2170, 2410, 2604, 2892, 3255, 3374, 3615, 4340, 4820, 5061, 6510, 6748, 7230, 7471, 8435, 10122, 13020, 14460, 14942, 16870, 20244, 22413, 25305, 29884, 33740, 37355, 44826, 50610, 52297, 74710, 89652, 101220, 104594, 112065, 149420, 156891, 209188, 224130, 261485, 313782, 448260, 522970, 627564, 784455, 1045940, 1568910, 3137820
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.