Is 2,413,008 a Prime Number?
No, 2,413,008 is not a prime number
Number Properties
- Value:2,413,008
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1001001101000111010000
- Hexadecimal:24D1D0
Prime Status
2,413,008 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 32 × 13 × 1289
Divisors
Total divisors: 60
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1289, 1872, 2578, 3867, 5156, 7734, 10312, 11601, 15468, 16757, 20624, 23202, 30936, 33514, 46404, 50271, 61872, 67028, 92808, 100542, 134056, 150813, 185616, 201084, 268112, 301626, 402168, 603252, 804336, 1206504, 2413008
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.