Is 4,042,400 a Prime Number?
No, 4,042,400 is not a prime number
Number Properties
- Value:4,042,400
- Number Type:Even, Positive
- Digit Sum:14
- Total Digits:7
- Binary:1111011010111010100000
- Hexadecimal:3DAEA0
Prime Status
4,042,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 52 × 31 × 163
Divisors
Total divisors: 72
1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 32, 40, 50, 62, 80, 100, 124, 155, 160, 163, 200, 248, 310, 326, 400, 496, 620, 652, 775, 800, 815, 992, 1240, 1304, 1550, 1630, 2480, 2608, 3100, 3260, 4075, 4960, 5053, 5216, 6200, 6520, 8150, 10106, 12400, 13040, 16300, 20212, 24800, 25265, 26080, 32600, 40424, 50530, 65200, 80848, 101060, 126325, 130400, 161696, 202120, 252650, 404240, 505300, 808480, 1010600, 2021200, 4042400
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.