The number 6427
6427 is the 836th prime number. Its only divisors are 1 and 6427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6427: the 836th prime number.
- 2
6427 is prime, so its only factors are 1 and 6427. It is the 836th prime; the next prime is 6449 and the one before is 6421.
- 3
The divisors add up to 6428; without 6427 itself that is 1, so 6427 is deficient (1 is less than 6427). Euler's totient φ(6427) = 6426 numbers up to 6427 share no factor with it.
- 4
The digits of 6427 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
6427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6428 |
| Euler totient φ(n) | 6426 |
| Square | 41306329 |
| Cube | 265475776483 |
| Square root | 80.168572 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 6.427 × |
6427 in other forms
| Form | Value |
|---|---|
| In words | six thousand four hundred and twenty-seven |
| Binary (base 2) | 1100100011011 |
| Octal (base 8) | 14433 |
| Hexadecimal (base 16) | 191B |
| Base 3 | 22211001 |
| As time | 6427 seconds = 1 h 47 min 7 s |
Is 6427 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6427 a prime number?
Yes. 6427 is divisible only by 1 and itself.
What are the factors of 6427?
1, 6427.
What is 6427 in binary?
1100100011011 (hexadecimal 191B, octal 14433).
What is the square root of 6427?
About 80.1686.
Is 6427 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 6427?
6427 is the 836th prime number.