Is 4,002,072 a Prime Number?
No, 4,002,072 is not a prime number
Number Properties
- Value:4,002,072
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1111010001000100011000
- Hexadecimal:3D1118
Prime Status
4,002,072 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 172 × 577
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 577, 578, 867, 1154, 1156, 1731, 1734, 2308, 2312, 3462, 3468, 4616, 6924, 6936, 9809, 13848, 19618, 29427, 39236, 58854, 78472, 117708, 166753, 235416, 333506, 500259, 667012, 1000518, 1334024, 2001036, 4002072
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.