The number 71824
71824 is a perfect square (268²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072, 4489, 8978, 17956, 35912, 71824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71824: a perfect square (268²).
- 2
71824 is composite. Its prime factorisation is
- 3
The divisors add up to 141267; without 71824 itself that is 69443, so 71824 is deficient (69443 is less than 71824). Euler's totient φ(71824) = 35376 numbers up to 71824 share no factor with it.
- 4
The digits of 71824 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71824 = 2^{4} \times 67^{2} \]71824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 141267 |
| Euler totient φ(n) | 35376 |
| Square | 5158686976 |
| Cube | 370517533364224 |
| Square root | 268 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.1824 × |
| Perfect power |
71824 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand eight hundred and twenty-four |
| Binary (base 2) | 10001100010010000 |
| Octal (base 8) | 214220 |
| Hexadecimal (base 16) | 11890 |
| Base 3 | 10122112011 |
| As time | 71824 seconds = 19 h 57 min 4 s |
Is 71824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71824 ÷ 2 = 35912) | 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 (71824 ÷ 4 = 17956) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (71824 ÷ 8 = 8978) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 71824 a prime number?
No. 71824 = × , so it is divisible by 2.
What are the factors of 71824?
1, 2, 4, 8, 16, 67, 134, 268, 536, 1072, 4489, 8978, 17956, 35912, 71824.
What is 71824 in binary?
10001100010010000 (hexadecimal 11890, octal 214220).
What is the square root of 71824?
268, because 268 × 268 = 71824.
Is 71824 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 71824?
71824 is a perfect square (268²).