The number 71316
71316 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 283. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 71316.
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How to work it out
- 1
What is special about 71316: a Harshad number: divisible by its digit sum 18.
- 2
71316 is composite. Its prime factorisation is
- 3
The divisors add up to 206752; without 71316 itself that is 135436, so 71316 is abundant (135436 is more than 71316). Euler's totient φ(71316) = 20304 numbers up to 71316 share no factor with it.
- 4
The digits of 71316 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
\[ 71316 = 2^{2} \times 3^{2} \times 7 \times 283 \]71316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 206752 |
| Euler totient φ(n) | 20304 |
| Square | 5085971856 |
| Cube | 362711168882496 |
| Square root | 267.050557 (= 6√1981) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1316 × |
71316 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and sixteen |
| Binary (base 2) | 10001011010010100 |
| Octal (base 8) | 213224 |
| Hexadecimal (base 16) | 11694 |
| Base 3 | 10121211100 |
| As time | 71316 seconds = 19 h 48 min 36 s |
Is 71316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71316 ÷ 2 = 35658) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71316 ÷ 3 = 23772) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71316 ÷ 4 = 17829) | 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 | Yes (71316 ÷ 6 = 11886) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71316 ÷ 7 = 10188) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71316 ÷ 9 = 7924) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71316 ÷ 12 = 5943) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71316 a prime number?
No. 71316 = × × 7 × 283, so it is divisible by 2.
What are the factors of 71316?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 283, 566, 849, 1132, 1698, 1981, 2547, 3396, 3962, 5094, 5943, 7924, 10188, 11886, 17829, 23772, 35658, 71316.
What is 71316 in binary?
10001011010010100 (hexadecimal 11694, octal 213224).
What is the square root of 71316?
About 267.0506, exactly 6√1981.
Is 71316 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71316?
71316 is a Harshad number: divisible by its digit sum 18.