The number 71055
71055 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1579. Divisors (12): 1, 3, 5, 9, 15, 45, 1579, 4737, 7895, 14211, 23685, 71055.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71055: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71055 is composite. Its prime factorisation is
- 3
The divisors add up to 123240; without 71055 itself that is 52185, so 71055 is deficient (52185 is less than 71055). Euler's totient φ(71055) = 37872 numbers up to 71055 share no factor with it.
- 4
The digits of 71055 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71055 = 3^{2} \times 5 \times 1579 \]71055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 123240 |
| Euler totient φ(n) | 37872 |
| Square | 5048813025 |
| Cube | 358743409491375 |
| Square root | 266.561438 (= 3√7895) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.1055 × |
71055 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and fifty-five |
| Binary (base 2) | 10001010110001111 |
| Octal (base 8) | 212617 |
| Hexadecimal (base 16) | 1158F |
| Base 3 | 10121110200 |
| As time | 71055 seconds = 19 h 44 min 15 s |
Is 71055 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 (71055 ÷ 3 = 23685) | 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 | Yes (71055 ÷ 5 = 14211) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71055 ÷ 9 = 7895) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71055 a prime number?
No. 71055 = × 5 × 1579, so it is divisible by 3.
What are the factors of 71055?
1, 3, 5, 9, 15, 45, 1579, 4737, 7895, 14211, 23685, 71055.
What is 71055 in binary?
10001010110001111 (hexadecimal 1158F, octal 212617).
What is the square root of 71055?
About 266.5614, exactly 3√7895.
Is 71055 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71055?
71055 is a happy number: repeatedly adding the squares of its digits reaches 1.