The number 995
995 is a composite number with 4 divisors. Its prime factorisation is 5 × 199. Divisors (4): 1, 5, 199, 995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 995: a semiprime: 5 × 199, the product of two primes.
- 2
995 is composite. Its prime factorisation is
- 3
The divisors add up to 1200; without 995 itself that is 205, so 995 is deficient (205 is less than 995). Euler's totient φ(995) = 792 numbers up to 995 share no factor with it.
- 4
The digits of 995 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 995 = 5 \times 199 \]
995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1200 |
| Euler totient φ(n) | 792 |
| Square | 990025 |
| Cube | 985074875 |
| Square root | 31.543621 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 23 |
| Scientific notation | 9.95 × |
995 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and ninety-five |
| Roman numerals | CMXCV |
| Binary (base 2) | 1111100011 |
| Octal (base 8) | 1743 |
| Hexadecimal (base 16) | 3E3 |
| Base 3 | 1100212 |
| As time | 995 seconds = 16 min 35 s |
Is 995 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 (995 ÷ 5 = 199) | 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 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 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 5) | 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 995 a prime number?
No. 995 = 5 × 199, so it is divisible by 5.
What are the factors of 995?
1, 5, 199, 995.
What is 995 in binary?
1111100011 (hexadecimal 3E3, octal 1743).
What is the square root of 995?
About 31.5436.
What is 995 in Roman numerals?
CMXCV.
Is 995 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 995?
995 is a semiprime: 5 × 199, the product of two primes.