Is 400,770 a Prime Number?
No, 400,770 is not a prime number
Number Properties
- Value:400,770
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:6
- Binary:1100001110110000010
- Hexadecimal:61D82
Prime Status
400,770 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 5 × 61 × 73
Divisors
Total divisors: 48
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 73, 90, 122, 146, 183, 219, 305, 365, 366, 438, 549, 610, 657, 730, 915, 1095, 1098, 1314, 1830, 2190, 2745, 3285, 4453, 5490, 6570, 8906, 13359, 22265, 26718, 40077, 44530, 66795, 80154, 133590, 200385, 400770
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.