The number 9167
9167 is a composite number with 4 divisors. Its prime factorisation is 89 × 103. Divisors (4): 1, 89, 103, 9167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9167: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 89 × 103, the product of two primes.
- 2
9167 is composite. Its prime factorisation is
- 3
The divisors add up to 9360; without 9167 itself that is 193, so 9167 is deficient (193 is less than 9167). Euler's totient φ(9167) = 8976 numbers up to 9167 share no factor with it.
- 4
The digits of 9167 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9167 = 89 \times 103 \]
9167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9360 |
| Euler totient φ(n) | 8976 |
| Square | 84033889 |
| Cube | 770338660463 |
| Square root | 95.744452 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.167 × |
9167 in other forms
| Form | Value |
|---|---|
| In words | nine thousand one hundred and sixty-seven |
| Binary (base 2) | 10001111001111 |
| Octal (base 8) | 21717 |
| Hexadecimal (base 16) | 23CF |
| Base 3 | 110120112 |
| As time | 9167 seconds = 2 h 32 min 47 s |
Is 9167 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 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 5) | 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 9167 a prime number?
No. 9167 = 89 × 103, so it is divisible by 89.
What are the factors of 9167?
1, 89, 103, 9167.
What is 9167 in binary?
10001111001111 (hexadecimal 23CF, octal 21717).
What is the square root of 9167?
About 95.7445.
Is 9167 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9167?
9167 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 89 × 103, the product of two primes.