The number 71825
71825 is a composite number with 18 divisors. Its prime factorisation is × × 17. Divisors (18): 1, 5, 13, 17, 25, 65, 85, 169, 221, 325, 425, 845, 1105, 2873, 4225, 5525 … 71825.
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How to work it out
- 1
71825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71825 is composite. Its prime factorisation is
- 3
The divisors add up to 102114; without 71825 itself that is 30289, so 71825 is deficient (30289 is less than 71825). Euler's totient φ(71825) = 49920 numbers up to 71825 share no factor with it.
- 4
The digits of 71825 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71825 = 5^{2} \times 13^{2} \times 17 \]71825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 102114 |
| Euler totient φ(n) | 49920 |
| Square | 5158830625 |
| Cube | 370533009640625 |
| Square root | 268.001866 (= 65√17) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.1825 × |
71825 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand eight hundred and twenty-five |
| Binary (base 2) | 10001100010010001 |
| Octal (base 8) | 214221 |
| Hexadecimal (base 16) | 11891 |
| Base 3 | 10122112012 |
| As time | 71825 seconds = 19 h 57 min 5 s |
Is 71825 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 (71825 ÷ 5 = 14365) | 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 1) | 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 6) | 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 71825 a prime number?
No. 71825 = × × 17, so it is divisible by 5.
What are the factors of 71825?
1, 5, 13, 17, 25, 65, 85, 169, 221, 325, 425, 845, 1105, 2873, 4225, 5525, 14365, 71825.
What is 71825 in binary?
10001100010010001 (hexadecimal 11891, octal 214221).
What is the square root of 71825?
About 268.0019, exactly 65√17.
Is 71825 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 71825?
It is a composite number with 18 divisors.