The number 9995
9995 is a composite number with 4 divisors. Its prime factorisation is 5 × 1999. Divisors (4): 1, 5, 1999, 9995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9995: a semiprime: 5 × 1999, the product of two primes.
- 2
9995 is composite. Its prime factorisation is
- 3
The divisors add up to 12000; without 9995 itself that is 2005, so 9995 is deficient (2005 is less than 9995). Euler's totient φ(9995) = 7992 numbers up to 9995 share no factor with it.
- 4
The digits of 9995 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9995 = 5 \times 1999 \]
9995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12000 |
| Euler totient φ(n) | 7992 |
| Square | 99900025 |
| Cube | 998500749875 |
| Square root | 99.974997 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 9.995 × |
9995 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and ninety-five |
| Binary (base 2) | 10011100001011 |
| Octal (base 8) | 23413 |
| Hexadecimal (base 16) | 270B |
| Base 3 | 111201012 |
| As time | 9995 seconds = 2 h 46 min 35 s |
Is 9995 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9995 ÷ 5 = 1999) | 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 6) | 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 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9995 a prime number?
No. 9995 = 5 × 1999, so it is divisible by 5.
What are the factors of 9995?
1, 5, 1999, 9995.
What is 9995 in binary?
10011100001011 (hexadecimal 270B, octal 23413).
What is the square root of 9995?
About 99.9750.
Is 9995 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 9995?
9995 is a semiprime: 5 × 1999, the product of two primes.