The number 71361
71361 is a composite number with 10 divisors. Its prime factorisation is × 881. Divisors (10): 1, 3, 9, 27, 81, 881, 2643, 7929, 23787, 71361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71361 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71361 is composite. Its prime factorisation is
- 3
The divisors add up to 106722; without 71361 itself that is 35361, so 71361 is deficient (35361 is less than 71361). Euler's totient φ(71361) = 47520 numbers up to 71361 share no factor with it.
- 4
The digits of 71361 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71361 = 3^{4} \times 881 \]71361 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 106722 |
| Euler totient φ(n) | 47520 |
| Square | 5092392321 |
| Cube | 363398208418881 |
| Square root | 267.134797 (= 9√881) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1361 × |
71361 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and sixty-one |
| Binary (base 2) | 10001011011000001 |
| Octal (base 8) | 213301 |
| Hexadecimal (base 16) | 116C1 |
| Base 3 | 10121220000 |
| As time | 71361 seconds = 19 h 49 min 21 s |
Is 71361 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 (71361 ÷ 3 = 23787) | 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 | No (remainder 1) | 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 3) | 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 | Yes (71361 ÷ 9 = 7929) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 71361 a prime number?
No. 71361 = × 881, so it is divisible by 3.
What are the factors of 71361?
1, 3, 9, 27, 81, 881, 2643, 7929, 23787, 71361.
What is 71361 in binary?
10001011011000001 (hexadecimal 116C1, octal 213301).
What is the square root of 71361?
About 267.1348, exactly 9√881.
Is 71361 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71361?
It is a composite number with 10 divisors.