The number 10167
10167 is a composite number with 4 divisors. Its prime factorisation is 3 × 3389. Divisors (4): 1, 3, 3389, 10167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10167: a semiprime: 3 × 3389, the product of two primes.
- 2
10167 is composite. Its prime factorisation is
- 3
The divisors add up to 13560; without 10167 itself that is 3393, so 10167 is deficient (3393 is less than 10167). Euler's totient φ(10167) = 6776 numbers up to 10167 share no factor with it.
- 4
The digits of 10167 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10167 = 3 \times 3389 \]
10167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13560 |
| Euler totient φ(n) | 6776 |
| Square | 103367889 |
| Cube | 1050941327463 |
| Square root | 100.831543 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0167 × |
10167 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and sixty-seven |
| Binary (base 2) | 10011110110111 |
| Octal (base 8) | 23667 |
| Hexadecimal (base 16) | 27B7 |
| Base 3 | 111221120 |
| As time | 10167 seconds = 2 h 49 min 27 s |
Is 10167 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 (10167 ÷ 3 = 3389) | 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 3) | 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 3) | 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 10167 a prime number?
No. 10167 = 3 × 3389, so it is divisible by 3.
What are the factors of 10167?
1, 3, 3389, 10167.
What is 10167 in binary?
10011110110111 (hexadecimal 27B7, octal 23667).
What is the square root of 10167?
About 100.8315.
Is 10167 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 10167?
10167 is a semiprime: 3 × 3389, the product of two primes.