Is 2,377,464 a Prime Number?
No, 2,377,464 is not a prime number
Number Properties
- Value:2,377,464
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1001000100011011111000
- Hexadecimal:2446F8
Prime Status
2,377,464 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 23 × 59 × 73
Divisors
Total divisors: 64
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 59, 69, 73, 92, 118, 138, 146, 177, 184, 219, 236, 276, 292, 354, 438, 472, 552, 584, 708, 876, 1357, 1416, 1679, 1752, 2714, 3358, 4071, 4307, 5037, 5428, 6716, 8142, 8614, 10074, 10856, 12921, 13432, 16284, 17228, 20148, 25842, 32568, 34456, 40296, 51684, 99061, 103368, 198122, 297183, 396244, 594366, 792488, 1188732, 2377464
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.