The number 9927
9927 is a composite number with 6 divisors. Its prime factorisation is × 1103. Divisors (6): 1, 3, 9, 1103, 3309, 9927.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9927 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9927 is composite. Its prime factorisation is
- 3
The divisors add up to 14352; without 9927 itself that is 4425, so 9927 is deficient (4425 is less than 9927). Euler's totient φ(9927) = 6612 numbers up to 9927 share no factor with it.
- 4
The digits of 9927 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9927 = 3^{2} \times 1103 \]9927 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14352 |
| Euler totient φ(n) | 6612 |
| Square | 98545329 |
| Cube | 978259480983 |
| Square root | 99.634331 (= 3√1103) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.927 × |
9927 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and twenty-seven |
| Binary (base 2) | 10011011000111 |
| Octal (base 8) | 23307 |
| Hexadecimal (base 16) | 26C7 |
| Base 3 | 111121200 |
| As time | 9927 seconds = 2 h 45 min 27 s |
Is 9927 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 (9927 ÷ 3 = 3309) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9927 ÷ 9 = 1103) | 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 5) | 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 9927 a prime number?
No. 9927 = × 1103, so it is divisible by 3.
What are the factors of 9927?
1, 3, 9, 1103, 3309, 9927.
What is 9927 in binary?
10011011000111 (hexadecimal 26C7, octal 23307).
What is the square root of 9927?
About 99.6343, exactly 3√1103.
Is 9927 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9927?
It is a composite number with 6 divisors.