The number 16167
16167 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 317. Divisors (8): 1, 3, 17, 51, 317, 951, 5389, 16167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16167 is composite. Its prime factorisation is
- 3
The divisors add up to 22896; without 16167 itself that is 6729, so 16167 is deficient (6729 is less than 16167). Euler's totient φ(16167) = 10112 numbers up to 16167 share no factor with it.
- 4
The digits of 16167 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16167 = 3 \times 17 \times 317 \]
16167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 22896 |
| Euler totient φ(n) | 10112 |
| Square | 261371889 |
| Cube | 4225599329463 |
| Square root | 127.149518 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6167 × |
16167 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and sixty-seven |
| Binary (base 2) | 11111100100111 |
| Octal (base 8) | 37447 |
| Hexadecimal (base 16) | 3F27 |
| Base 3 | 211011210 |
| As time | 16167 seconds = 4 h 29 min 27 s |
Is 16167 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 | Yes (16167 ÷ 3 = 5389) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16167 a prime number?
No. 16167 = 3 × 17 × 317, so it is divisible by 3.
What are the factors of 16167?
1, 3, 17, 51, 317, 951, 5389, 16167.
What is 16167 in binary?
11111100100111 (hexadecimal 3F27, octal 37447).
What is the square root of 16167?
About 127.1495.
Is 16167 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16167?
It is a composite number with 8 divisors.