The number 71565
71565 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 367. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 195, 367, 1101, 1835, 4771, 5505, 14313, 23855, 71565.
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How to work it out
- 1
71565 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71565 is composite. Its prime factorisation is
- 3
The divisors add up to 123648; without 71565 itself that is 52083, so 71565 is deficient (52083 is less than 71565). Euler's totient φ(71565) = 35136 numbers up to 71565 share no factor with it.
- 4
The digits of 71565 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71565 = 3 \times 5 \times 13 \times 367 \]
71565 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123648 |
| Euler totient φ(n) | 35136 |
| Square | 5121549225 |
| Cube | 366523670287125 |
| Square root | 267.516355 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1565 × |
71565 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand five hundred and sixty-five |
| Binary (base 2) | 10001011110001101 |
| Octal (base 8) | 213615 |
| Hexadecimal (base 16) | 1178D |
| Base 3 | 10122011120 |
| As time | 71565 seconds = 19 h 52 min 45 s |
Is 71565 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 (71565 ÷ 3 = 23855) | 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 (71565 ÷ 5 = 14313) | 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 4) | 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 | No (remainder 6) | 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 10) | 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 71565 a prime number?
No. 71565 = 3 × 5 × 13 × 367, so it is divisible by 3.
What are the factors of 71565?
1, 3, 5, 13, 15, 39, 65, 195, 367, 1101, 1835, 4771, 5505, 14313, 23855, 71565.
What is 71565 in binary?
10001011110001101 (hexadecimal 1178D, octal 213615).
What is the square root of 71565?
About 267.5164.
Is 71565 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 71565?
It is a composite number with 16 divisors.