The number 9316
9316 is a triangular number: 1 + 2 + … + 136 = 9316. Its prime factorisation is × 17 × 137. Divisors (12): 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9316: a triangular number: 1 + 2 + … + 136 = 9316.
- 2
9316 is composite. Its prime factorisation is
- 3
The divisors add up to 17388; without 9316 itself that is 8072, so 9316 is deficient (8072 is less than 9316). Euler's totient φ(9316) = 4352 numbers up to 9316 share no factor with it.
- 4
The digits of 9316 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9316 = 2^{2} \times 17 \times 137 \]9316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17388 |
| Euler totient φ(n) | 4352 |
| Square | 86787856 |
| Cube | 808515666496 |
| Square root | 96.519428 (= 2√2329) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.316 × |
9316 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and sixteen |
| Binary (base 2) | 10010001100100 |
| Octal (base 8) | 22144 |
| Hexadecimal (base 16) | 2464 |
| Base 3 | 110210001 |
| As time | 9316 seconds = 2 h 35 min 16 s |
Is 9316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9316 ÷ 2 = 4658) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9316 ÷ 4 = 2329) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9316 a prime number?
No. 9316 = × 17 × 137, so it is divisible by 2.
What are the factors of 9316?
1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316.
What is 9316 in binary?
10010001100100 (hexadecimal 2464, octal 22144).
What is the square root of 9316?
About 96.5194, exactly 2√2329.
Is 9316 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9316?
9316 is a triangular number: 1 + 2 + … + 136 = 9316.