Is 3,507,140 a Prime Number?
No, 3,507,140 is not a prime number
Number Properties
- Value:3,507,140
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1101011000001111000100
- Hexadecimal:3583C4
Prime Status
3,507,140 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 7 × 13 × 41 × 47
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 41, 47, 52, 65, 70, 82, 91, 94, 130, 140, 164, 182, 188, 205, 235, 260, 287, 329, 364, 410, 455, 470, 533, 574, 611, 658, 820, 910, 940, 1066, 1148, 1222, 1316, 1435, 1645, 1820, 1927, 2132, 2444, 2665, 2870, 3055, 3290, 3731, 3854, 4277, 5330, 5740, 6110, 6580, 7462, 7708, 8554, 9635, 10660, 12220, 13489, 14924, 17108, 18655, 19270, 21385, 25051, 26978, 37310, 38540, 42770, 50102, 53956, 67445, 74620, 85540, 100204, 125255, 134890, 175357, 250510, 269780, 350714, 501020, 701428, 876785, 1753570, 3507140
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.