The number 97167
97167 is a composite number with 12 divisors. Its prime factorisation is 3 × × 661. Divisors (12): 1, 3, 7, 21, 49, 147, 661, 1983, 4627, 13881, 32389, 97167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97167 is composite. Its prime factorisation is
- 3
The divisors add up to 150936; without 97167 itself that is 53769, so 97167 is deficient (53769 is less than 97167). Euler's totient φ(97167) = 55440 numbers up to 97167 share no factor with it.
- 4
The digits of 97167 add up to 30, 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
\[ 97167 = 3 \times 7^{2} \times 661 \]97167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 150936 |
| Euler totient φ(n) | 55440 |
| Square | 9441425889 |
| Cube | 917395029356463 |
| Square root | 311.716217 (= 7√1983) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.7167 × |
97167 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and sixty-seven |
| Binary (base 2) | 10111101110001111 |
| Octal (base 8) | 275617 |
| Hexadecimal (base 16) | 17B8F |
| Base 3 | 11221021210 |
| As time | 97167 seconds = 26 h 59 min 27 s |
Is 97167 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 (97167 ÷ 3 = 32389) | 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 (97167 ÷ 7 = 13881) | 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 4) | 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 97167 a prime number?
No. 97167 = 3 × × 661, so it is divisible by 3.
What are the factors of 97167?
1, 3, 7, 21, 49, 147, 661, 1983, 4627, 13881, 32389, 97167.
What is 97167 in binary?
10111101110001111 (hexadecimal 17B8F, octal 275617).
What is the square root of 97167?
About 311.7162, exactly 7√1983.
Is 97167 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 97167?
It is a composite number with 12 divisors.