Is 3,490,760 a Prime Number?
No, 3,490,760 is not a prime number
Number Properties
- Value:3,490,760
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:1101010100001111001000
- Hexadecimal:3543C8
Prime Status
3,490,760 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 72 × 13 × 137
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 49, 52, 56, 65, 70, 91, 98, 104, 130, 137, 140, 182, 196, 245, 260, 274, 280, 364, 392, 455, 490, 520, 548, 637, 685, 728, 910, 959, 980, 1096, 1274, 1370, 1781, 1820, 1918, 1960, 2548, 2740, 3185, 3562, 3640, 3836, 4795, 5096, 5480, 6370, 6713, 7124, 7672, 8905, 9590, 12467, 12740, 13426, 14248, 17810, 19180, 24934, 25480, 26852, 33565, 35620, 38360, 49868, 53704, 62335, 67130, 71240, 87269, 99736, 124670, 134260, 174538, 249340, 268520, 349076, 436345, 498680, 698152, 872690, 1745380, 3490760
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.