Is 4,001,796 a Prime Number?
No, 4,001,796 is not a prime number
Number Properties
- Value:4,001,796
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1111010001000000000100
- Hexadecimal:3D1004
Prime Status
4,001,796 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 89 × 1249
Divisors
Total divisors: 36
1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1249, 1602, 2498, 3204, 3747, 4996, 7494, 11241, 14988, 22482, 44964, 111161, 222322, 333483, 444644, 666966, 1000449, 1333932, 2000898, 4001796
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.