The number 71313
71313 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 2161. Divisors (8): 1, 3, 11, 33, 2161, 6483, 23771, 71313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71313 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71313 is composite. Its prime factorisation is
- 3
The divisors add up to 103776; without 71313 itself that is 32463, so 71313 is deficient (32463 is less than 71313). Euler's totient φ(71313) = 43200 numbers up to 71313 share no factor with it.
- 4
The digits of 71313 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71313 = 3 \times 11 \times 2161 \]
71313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 103776 |
| Euler totient φ(n) | 43200 |
| Square | 5085543969 |
| Cube | 362665397061297 |
| Square root | 267.044940 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.1313 × |
71313 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and thirteen |
| Binary (base 2) | 10001011010010001 |
| Octal (base 8) | 213221 |
| Hexadecimal (base 16) | 11691 |
| Base 3 | 10121211020 |
| As time | 71313 seconds = 19 h 48 min 33 s |
Is 71313 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 (71313 ÷ 3 = 23771) | 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 3) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (71313 ÷ 11 = 6483) | 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 71313 a prime number?
No. 71313 = 3 × 11 × 2161, so it is divisible by 3.
What are the factors of 71313?
1, 3, 11, 33, 2161, 6483, 23771, 71313.
What is 71313 in binary?
10001011010010001 (hexadecimal 11691, octal 213221).
What is the square root of 71313?
About 267.0449.
Is 71313 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 71313?
It is a composite number with 8 divisors.