The number 3995
3995 is a composite number with 8 divisors. Its prime factorisation is 5 × 17 × 47. Divisors (8): 1, 5, 17, 47, 85, 235, 799, 3995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3995 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3995 is composite. Its prime factorisation is
- 3
The divisors add up to 5184; without 3995 itself that is 1189, so 3995 is deficient (1189 is less than 3995). Euler's totient φ(3995) = 2944 numbers up to 3995 share no factor with it.
- 4
The digits of 3995 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3995 = 5 \times 17 \times 47 \]
3995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5184 |
| Euler totient φ(n) | 2944 |
| Square | 15960025 |
| Cube | 63760299875 |
| Square root | 63.206012 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 82 |
| Scientific notation | 3.995 × |
3995 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and ninety-five |
| Roman numerals | MMMCMXCV |
| Binary (base 2) | 111110011011 |
| Octal (base 8) | 7633 |
| Hexadecimal (base 16) | F9B |
| Base 3 | 12110222 |
| As time | 3995 seconds = 1 h 6 min 35 s |
Is 3995 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 (3995 ÷ 5 = 799) | 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 5) | 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 8) | 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 2) | 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 3995 a prime number?
No. 3995 = 5 × 17 × 47, so it is divisible by 5.
What are the factors of 3995?
1, 5, 17, 47, 85, 235, 799, 3995.
What is 3995 in binary?
111110011011 (hexadecimal F9B, octal 7633).
What is the square root of 3995?
About 63.2060.
What is 3995 in Roman numerals?
MMMCMXCV.
Is 3995 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 3995?
It is a composite number with 8 divisors.