The number 13167
13167 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 19. Divisors (24): 1, 3, 7, 9, 11, 19, 21, 33, 57, 63, 77, 99, 133, 171, 209, 231 … 13167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13167 is composite. Its prime factorisation is
- 3
The divisors add up to 24960; without 13167 itself that is 11793, so 13167 is deficient (11793 is less than 13167). Euler's totient φ(13167) = 6480 numbers up to 13167 share no factor with it.
- 4
The digits of 13167 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13167 = 3^{2} \times 7 \times 11 \times 19 \]13167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 24960 |
| Euler totient φ(n) | 6480 |
| Square | 173369889 |
| Cube | 2282761328463 |
| Square root | 114.747549 (= 3√1463) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3167 × |
13167 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and sixty-seven |
| Binary (base 2) | 11001101101111 |
| Octal (base 8) | 31557 |
| Hexadecimal (base 16) | 336F |
| Base 3 | 200001200 |
| As time | 13167 seconds = 3 h 39 min 27 s |
Is 13167 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 (13167 ÷ 3 = 4389) | 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 | Yes (13167 ÷ 7 = 1881) | 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 | Yes (13167 ÷ 9 = 1463) | 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 | Yes (13167 ÷ 11 = 1197) | 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 13167 a prime number?
No. 13167 = × 7 × 11 × 19, so it is divisible by 3.
What are the factors of 13167?
1, 3, 7, 9, 11, 19, 21, 33, 57, 63, 77, 99, 133, 171, 209, 231, 399, 627, 693, 1197, 1463, 1881, 4389, 13167.
What is 13167 in binary?
11001101101111 (hexadecimal 336F, octal 31557).
What is the square root of 13167?
About 114.7475, exactly 3√1463.
Is 13167 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13167?
It is a composite number with 24 divisors.