Is 3,426,540 a Prime Number?
No, 3,426,540 is not a prime number
Number Properties
- Value:3,426,540
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101000100100011101100
- Hexadecimal:3448EC
Prime Status
3,426,540 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 13 × 23 × 191
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 23, 26, 30, 39, 46, 52, 60, 65, 69, 78, 92, 115, 130, 138, 156, 191, 195, 230, 260, 276, 299, 345, 382, 390, 460, 573, 598, 690, 764, 780, 897, 955, 1146, 1196, 1380, 1495, 1794, 1910, 2292, 2483, 2865, 2990, 3588, 3820, 4393, 4485, 4966, 5730, 5980, 7449, 8786, 8970, 9932, 11460, 12415, 13179, 14898, 17572, 17940, 21965, 24830, 26358, 29796, 37245, 43930, 49660, 52716, 57109, 65895, 74490, 87860, 114218, 131790, 148980, 171327, 228436, 263580, 285545, 342654, 571090, 685308, 856635, 1142180, 1713270, 3426540
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.