The number 9933
9933 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 43. Divisors (16): 1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9933 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9933 is composite. Its prime factorisation is
- 3
The divisors add up to 16896; without 9933 itself that is 6963, so 9933 is deficient (6963 is less than 9933). Euler's totient φ(9933) = 5040 numbers up to 9933 share no factor with it.
- 4
The digits of 9933 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9933 = 3 \times 7 \times 11 \times 43 \]
9933 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16896 |
| Euler totient φ(n) | 5040 |
| Square | 98664489 |
| Cube | 980034369237 |
| Square root | 99.664437 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.933 × |
9933 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and thirty-three |
| Binary (base 2) | 10011011001101 |
| Octal (base 8) | 23315 |
| Hexadecimal (base 16) | 26CD |
| Base 3 | 111121220 |
| As time | 9933 seconds = 2 h 45 min 33 s |
Is 9933 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 (9933 ÷ 3 = 3311) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 (9933 ÷ 7 = 1419) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9933 ÷ 11 = 903) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9933 a prime number?
No. 9933 = 3 × 7 × 11 × 43, so it is divisible by 3.
What are the factors of 9933?
1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933.
What is 9933 in binary?
10011011001101 (hexadecimal 26CD, octal 23315).
What is the square root of 9933?
About 99.6644.
Is 9933 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9933?
It is a composite number with 16 divisors.