The number 9164
9164 is a composite number with 12 divisors. Its prime factorisation is × 29 × 79. Divisors (12): 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9164 is composite. Its prime factorisation is
- 3
The divisors add up to 16800; without 9164 itself that is 7636, so 9164 is deficient (7636 is less than 9164). Euler's totient φ(9164) = 4368 numbers up to 9164 share no factor with it.
- 4
The digits of 9164 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9164 = 2^{2} \times 29 \times 79 \]9164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16800 |
| Euler totient φ(n) | 4368 |
| Square | 83978896 |
| Cube | 769582602944 |
| Square root | 95.728784 (= 2√2291) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.164 × |
9164 in other forms
| Form | Value |
|---|---|
| In words | nine thousand one hundred and sixty-four |
| Binary (base 2) | 10001111001100 |
| Octal (base 8) | 21714 |
| Hexadecimal (base 16) | 23CC |
| Base 3 | 110120102 |
| As time | 9164 seconds = 2 h 32 min 44 s |
Is 9164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9164 ÷ 2 = 4582) | 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 | Yes (9164 ÷ 4 = 2291) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9164 a prime number?
No. 9164 = × 29 × 79, so it is divisible by 2.
What are the factors of 9164?
1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164.
What is 9164 in binary?
10001111001100 (hexadecimal 23CC, octal 21714).
What is the square root of 9164?
About 95.7288, exactly 2√2291.
Is 9164 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9164?
It is a composite number with 12 divisors.