The number 9331
9331 is a composite number with 8 divisors. Its prime factorisation is 7 × 31 × 43. Divisors (8): 1, 7, 31, 43, 217, 301, 1333, 9331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9331: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9331 is composite. Its prime factorisation is
- 3
The divisors add up to 11264; without 9331 itself that is 1933, so 9331 is deficient (1933 is less than 9331). Euler's totient φ(9331) = 7560 numbers up to 9331 share no factor with it.
- 4
The digits of 9331 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9331 = 7 \times 31 \times 43 \]
9331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11264 |
| Euler totient φ(n) | 7560 |
| Square | 87067561 |
| Cube | 812427411691 |
| Square root | 96.597101 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.331 × |
9331 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and thirty-one |
| Binary (base 2) | 10010001110011 |
| Octal (base 8) | 22163 |
| Hexadecimal (base 16) | 2473 |
| Base 3 | 110210121 |
| As time | 9331 seconds = 2 h 35 min 31 s |
Is 9331 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 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9331 ÷ 7 = 1333) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9331 a prime number?
No. 9331 = 7 × 31 × 43, so it is divisible by 7.
What are the factors of 9331?
1, 7, 31, 43, 217, 301, 1333, 9331.
What is 9331 in binary?
10010001110011 (hexadecimal 2473, octal 22163).
What is the square root of 9331?
About 96.5971.
Is 9331 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 9331?
9331 is a happy number: repeatedly adding the squares of its digits reaches 1.