The number 71827
71827 is a composite number with 8 divisors. Its prime factorisation is 7 × 31 × 331. Divisors (8): 1, 7, 31, 217, 331, 2317, 10261, 71827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71827: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71827 is composite. Its prime factorisation is
- 3
The divisors add up to 84992; without 71827 itself that is 13165, so 71827 is deficient (13165 is less than 71827). Euler's totient φ(71827) = 59400 numbers up to 71827 share no factor with it.
- 4
The digits of 71827 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71827 = 7 \times 31 \times 331 \]
71827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84992 |
| Euler totient φ(n) | 59400 |
| Square | 5159117929 |
| Cube | 370563963486283 |
| Square root | 268.005597 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.1827 × |
71827 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand eight hundred and twenty-seven |
| Binary (base 2) | 10001100010010011 |
| Octal (base 8) | 214223 |
| Hexadecimal (base 16) | 11893 |
| Base 3 | 10122112021 |
| As time | 71827 seconds = 19 h 57 min 7 s |
Is 71827 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71827 ÷ 7 = 10261) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71827 a prime number?
No. 71827 = 7 × 31 × 331, so it is divisible by 7.
What are the factors of 71827?
1, 7, 31, 217, 331, 2317, 10261, 71827.
What is 71827 in binary?
10001100010010011 (hexadecimal 11893, octal 214223).
What is the square root of 71827?
About 268.0056.
Is 71827 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 71827?
71827 is a happy number: repeatedly adding the squares of its digits reaches 1.