The number 71006
71006 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 2731. Divisors (8): 1, 2, 13, 26, 2731, 5462, 35503, 71006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71006: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71006 is composite. Its prime factorisation is
- 3
The divisors add up to 114744; without 71006 itself that is 43738, so 71006 is deficient (43738 is less than 71006). Euler's totient φ(71006) = 32760 numbers up to 71006 share no factor with it.
- 4
The digits of 71006 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71006 = 2 \times 13 \times 2731 \]
71006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 114744 |
| Euler totient φ(n) | 32760 |
| Square | 5041852036 |
| Cube | 358001745668216 |
| Square root | 266.469510 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.1006 × |
71006 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and six |
| Binary (base 2) | 10001010101011110 |
| Octal (base 8) | 212536 |
| Hexadecimal (base 16) | 1155E |
| Base 3 | 10121101212 |
| As time | 71006 seconds = 19 h 43 min 26 s |
Is 71006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71006 ÷ 2 = 35503) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71006 a prime number?
No. 71006 = 2 × 13 × 2731, so it is divisible by 2.
What are the factors of 71006?
1, 2, 13, 26, 2731, 5462, 35503, 71006.
What is 71006 in binary?
10001010101011110 (hexadecimal 1155E, octal 212536).
What is the square root of 71006?
About 266.4695.
Is 71006 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 71006?
71006 is a happy number: repeatedly adding the squares of its digits reaches 1.