The number 16427
16427 is the 1904th prime number. Its only divisors are 1 and 16427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16427: the 1904th prime number.
- 2
16427 is prime, so its only factors are 1 and 16427. It is the 1904th prime; the next prime is 16433 and the one before is 16421.
- 3
The divisors add up to 16428; without 16427 itself that is 1, so 16427 is deficient (1 is less than 16427). Euler's totient φ(16427) = 16426 numbers up to 16427 share no factor with it.
- 4
The digits of 16427 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
16427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16428 |
| Euler totient φ(n) | 16426 |
| Square | 269846329 |
| Cube | 4432765646483 |
| Square root | 128.167859 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6427 × |
16427 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and twenty-seven |
| Binary (base 2) | 100000000101011 |
| Octal (base 8) | 40053 |
| Hexadecimal (base 16) | 402B |
| Base 3 | 211112102 |
| As time | 16427 seconds = 4 h 33 min 47 s |
Is 16427 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16427 a prime number?
Yes. 16427 is divisible only by 1 and itself.
What are the factors of 16427?
1, 16427.
What is 16427 in binary?
100000000101011 (hexadecimal 402B, octal 40053).
What is the square root of 16427?
About 128.1679.
Is 16427 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16427?
16427 is the 1904th prime number.