Is 400,440 a Prime Number?
No, 400,440 is not a prime number
Number Properties
- Value:400,440
- Number Type:Even, Positive
- Digit Sum:12
- Total Digits:6
- Binary:1100001110000111000
- Hexadecimal:61C38
Prime Status
400,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 47 × 71
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 71, 94, 120, 141, 142, 188, 213, 235, 282, 284, 355, 376, 426, 470, 564, 568, 705, 710, 852, 940, 1065, 1128, 1410, 1420, 1704, 1880, 2130, 2820, 2840, 3337, 4260, 5640, 6674, 8520, 10011, 13348, 16685, 20022, 26696, 33370, 40044, 50055, 66740, 80088, 100110, 133480, 200220, 400440
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.