The number 28167
28167 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 229. Divisors (8): 1, 3, 41, 123, 229, 687, 9389, 28167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28167 is composite. Its prime factorisation is
- 3
The divisors add up to 38640; without 28167 itself that is 10473, so 28167 is deficient (10473 is less than 28167). Euler's totient φ(28167) = 18240 numbers up to 28167 share no factor with it.
- 4
The digits of 28167 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28167 = 3 \times 41 \times 229 \]
28167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38640 |
| Euler totient φ(n) | 18240 |
| Square | 793379889 |
| Cube | 22347131333463 |
| Square root | 167.830271 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.8167 × |
28167 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand one hundred and sixty-seven |
| Binary (base 2) | 110111000000111 |
| Octal (base 8) | 67007 |
| Hexadecimal (base 16) | 6E07 |
| Base 3 | 1102122020 |
| As time | 28167 seconds = 7 h 49 min 27 s |
Is 28167 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 (28167 ÷ 3 = 9389) | 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 6) | 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 6) | 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 7) | 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 28167 a prime number?
No. 28167 = 3 × 41 × 229, so it is divisible by 3.
What are the factors of 28167?
1, 3, 41, 123, 229, 687, 9389, 28167.
What is 28167 in binary?
110111000000111 (hexadecimal 6E07, octal 67007).
What is the square root of 28167?
About 167.8303.
Is 28167 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 28167?
It is a composite number with 8 divisors.