The number 9965
9965 is a composite number with 4 divisors. Its prime factorisation is 5 × 1993. Divisors (4): 1, 5, 1993, 9965.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9965: a semiprime: 5 × 1993, the product of two primes.
- 2
9965 is composite. Its prime factorisation is
- 3
The divisors add up to 11964; without 9965 itself that is 1999, so 9965 is deficient (1999 is less than 9965). Euler's totient φ(9965) = 7968 numbers up to 9965 share no factor with it.
- 4
The digits of 9965 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9965 = 5 \times 1993 \]
9965 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11964 |
| Euler totient φ(n) | 7968 |
| Square | 99301225 |
| Cube | 989536707125 |
| Square root | 99.824847 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 104 |
| Scientific notation | 9.965 × |
9965 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and sixty-five |
| Binary (base 2) | 10011011101101 |
| Octal (base 8) | 23355 |
| Hexadecimal (base 16) | 26ED |
| Base 3 | 111200002 |
| As time | 9965 seconds = 2 h 46 min 5 s |
Is 9965 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 2) | 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 | Yes (9965 ÷ 5 = 1993) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9965 a prime number?
No. 9965 = 5 × 1993, so it is divisible by 5.
What are the factors of 9965?
1, 5, 1993, 9965.
What is 9965 in binary?
10011011101101 (hexadecimal 26ED, octal 23355).
What is the square root of 9965?
About 99.8248.
Is 9965 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9965?
9965 is a semiprime: 5 × 1993, the product of two primes.