The number 71320
71320 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1783. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1783, 3566, 7132, 8915, 14264, 17830, 35660, 71320.
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How to work it out
- 1
71320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71320 is composite. Its prime factorisation is
- 3
The divisors add up to 160560; without 71320 itself that is 89240, so 71320 is abundant (89240 is more than 71320). Euler's totient φ(71320) = 28512 numbers up to 71320 share no factor with it.
- 4
The digits of 71320 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71320 = 2^{3} \times 5 \times 1783 \]71320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 160560 |
| Euler totient φ(n) | 28512 |
| Square | 5086542400 |
| Cube | 362772203968000 |
| Square root | 267.058046 (= 2√17830) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.132 × |
71320 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and twenty |
| Binary (base 2) | 10001011010011000 |
| Octal (base 8) | 213230 |
| Hexadecimal (base 16) | 11698 |
| Base 3 | 10121211111 |
| As time | 71320 seconds = 19 h 48 min 40 s |
Is 71320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71320 ÷ 2 = 35660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71320 ÷ 4 = 17830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71320 ÷ 5 = 14264) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (71320 ÷ 8 = 8915) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71320 ÷ 10 = 7132) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71320 a prime number?
No. 71320 = × 5 × 1783, so it is divisible by 2.
What are the factors of 71320?
1, 2, 4, 5, 8, 10, 20, 40, 1783, 3566, 7132, 8915, 14264, 17830, 35660, 71320.
What is 71320 in binary?
10001011010011000 (hexadecimal 11698, octal 213230).
What is the square root of 71320?
About 267.0580, exactly 2√17830.
Is 71320 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 71320?
It is a composite number with 16 divisors.