The number 71325
71325 is a composite number with 18 divisors. Its prime factorisation is × × 317. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 225, 317, 951, 1585, 2853, 4755, 7925, 14265 … 71325.
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How to work it out
- 1
71325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71325 is composite. Its prime factorisation is
- 3
The divisors add up to 128154; without 71325 itself that is 56829, so 71325 is deficient (56829 is less than 71325). Euler's totient φ(71325) = 37920 numbers up to 71325 share no factor with it.
- 4
The digits of 71325 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71325 = 3^{2} \times 5^{2} \times 317 \]71325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 128154 |
| Euler totient φ(n) | 37920 |
| Square | 5087255625 |
| Cube | 362848507453125 |
| Square root | 267.067407 (= 15√317) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.1325 × |
71325 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and twenty-five |
| Binary (base 2) | 10001011010011101 |
| Octal (base 8) | 213235 |
| Hexadecimal (base 16) | 1169D |
| Base 3 | 10121211200 |
| As time | 71325 seconds = 19 h 48 min 45 s |
Is 71325 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 | Yes (71325 ÷ 3 = 23775) | 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 (71325 ÷ 5 = 14265) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71325 ÷ 9 = 7925) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71325 a prime number?
No. 71325 = × × 317, so it is divisible by 3.
What are the factors of 71325?
1, 3, 5, 9, 15, 25, 45, 75, 225, 317, 951, 1585, 2853, 4755, 7925, 14265, 23775, 71325.
What is 71325 in binary?
10001011010011101 (hexadecimal 1169D, octal 213235).
What is the square root of 71325?
About 267.0674, exactly 15√317.
Is 71325 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71325?
It is a composite number with 18 divisors.