The number 71995
71995 is a composite number with 24 divisors. Its prime factorisation is 5 × 7 × × 17. Divisors (24): 1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 121, 187, 385, 595, 605, 847 … 71995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71995 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71995 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 71995 itself that is 42917, so 71995 is deficient (42917 is less than 71995). Euler's totient φ(71995) = 42240 numbers up to 71995 share no factor with it.
- 4
The digits of 71995 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71995 = 5 \times 7 \times 11^{2} \times 17 \]71995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 42240 |
| Square | 5183280025 |
| Cube | 373170245399875 |
| Square root | 268.318840 (= 11√595) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.1995 × |
71995 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand nine hundred and ninety-five |
| Binary (base 2) | 10001100100111011 |
| Octal (base 8) | 214473 |
| Hexadecimal (base 16) | 1193B |
| Base 3 | 10122202111 |
| As time | 71995 seconds = 19 h 59 min 55 s |
Is 71995 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 1) | 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 (71995 ÷ 5 = 14399) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71995 ÷ 7 = 10285) | 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 4) | 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 | Yes (71995 ÷ 11 = 6545) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71995 a prime number?
No. 71995 = 5 × 7 × × 17, so it is divisible by 5.
What are the factors of 71995?
1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 121, 187, 385, 595, 605, 847, 935, 1309, 2057, 4235, 6545, 10285, 14399, 71995.
What is 71995 in binary?
10001100100111011 (hexadecimal 1193B, octal 214473).
What is the square root of 71995?
About 268.3188, exactly 11√595.
Is 71995 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 71995?
It is a composite number with 24 divisors.