Is 4,001,448 a Prime Number?
No, 4,001,448 is not a prime number
Number Properties
- Value:4,001,448
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1111010000111010101000
- Hexadecimal:3D0EA8
Prime Status
4,001,448 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 11 × 23 × 659
Divisors
Total divisors: 64
1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 659, 759, 1012, 1318, 1518, 1977, 2024, 2636, 3036, 3954, 5272, 6072, 7249, 7908, 14498, 15157, 15816, 21747, 28996, 30314, 43494, 45471, 57992, 60628, 86988, 90942, 121256, 166727, 173976, 181884, 333454, 363768, 500181, 666908, 1000362, 1333816, 2000724, 4001448
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.