Is 4,138,400 a Prime Number?
No, 4,138,400 is not a prime number
Number Properties
- Value:4,138,400
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1111110010010110100000
- Hexadecimal:3F25A0
Prime Status
4,138,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 52 × 7 × 739
Divisors
Total divisors: 72
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 739, 800, 1120, 1400, 1478, 2800, 2956, 3695, 5173, 5600, 5912, 7390, 10346, 11824, 14780, 18475, 20692, 23648, 25865, 29560, 36950, 41384, 51730, 59120, 73900, 82768, 103460, 118240, 129325, 147800, 165536, 206920, 258650, 295600, 413840, 517300, 591200, 827680, 1034600, 2069200, 4138400
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.