The number 9969
9969 is a composite number with 4 divisors. Its prime factorisation is 3 × 3323. Divisors (4): 1, 3, 3323, 9969.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9969: a semiprime: 3 × 3323, the product of two primes.
- 2
9969 is composite. Its prime factorisation is
- 3
The divisors add up to 13296; without 9969 itself that is 3327, so 9969 is deficient (3327 is less than 9969). Euler's totient φ(9969) = 6644 numbers up to 9969 share no factor with it.
- 4
The digits of 9969 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9969 = 3 \times 3323 \]
9969 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13296 |
| Euler totient φ(n) | 6644 |
| Square | 99380961 |
| Cube | 990728800209 |
| Square root | 99.844880 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.969 × |
9969 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and sixty-nine |
| Binary (base 2) | 10011011110001 |
| Octal (base 8) | 23361 |
| Hexadecimal (base 16) | 26F1 |
| Base 3 | 111200020 |
| As time | 9969 seconds = 2 h 46 min 9 s |
Is 9969 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 (9969 ÷ 3 = 3323) | 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 4) | 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 1) | 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 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9969 a prime number?
No. 9969 = 3 × 3323, so it is divisible by 3.
What are the factors of 9969?
1, 3, 3323, 9969.
What is 9969 in binary?
10011011110001 (hexadecimal 26F1, octal 23361).
What is the square root of 9969?
About 99.8449.
Is 9969 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 9969?
9969 is a semiprime: 3 × 3323, the product of two primes.