The number 9387
9387 is a composite number with 12 divisors. Its prime factorisation is × 7 × 149. Divisors (12): 1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9387: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9387 is composite. Its prime factorisation is
- 3
The divisors add up to 15600; without 9387 itself that is 6213, so 9387 is deficient (6213 is less than 9387). Euler's totient φ(9387) = 5328 numbers up to 9387 share no factor with it.
- 4
The digits of 9387 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9387 = 3^{2} \times 7 \times 149 \]9387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15600 |
| Euler totient φ(n) | 5328 |
| Square | 88115769 |
| Cube | 827142723603 |
| Square root | 96.886532 (= 3√1043) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.387 × |
9387 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and eighty-seven |
| Binary (base 2) | 10010010101011 |
| Octal (base 8) | 22253 |
| Hexadecimal (base 16) | 24AB |
| Base 3 | 110212200 |
| As time | 9387 seconds = 2 h 36 min 27 s |
Is 9387 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 (9387 ÷ 3 = 3129) | 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 (9387 ÷ 7 = 1341) | 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 | Yes (9387 ÷ 9 = 1043) | 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 9387 a prime number?
No. 9387 = × 7 × 149, so it is divisible by 3.
What are the factors of 9387?
1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387.
What is 9387 in binary?
10010010101011 (hexadecimal 24AB, octal 22253).
What is the square root of 9387?
About 96.8865, exactly 3√1043.
Is 9387 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9387?
9387 is a happy number: repeatedly adding the squares of its digits reaches 1.