The number 71084
71084 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1367. Divisors (12): 1, 2, 4, 13, 26, 52, 1367, 2734, 5468, 17771, 35542, 71084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71084: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71084 is composite. Its prime factorisation is
- 3
The divisors add up to 134064; without 71084 itself that is 62980, so 71084 is deficient (62980 is less than 71084). Euler's totient φ(71084) = 32784 numbers up to 71084 share no factor with it.
- 4
The digits of 71084 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71084 = 2^{2} \times 13 \times 1367 \]71084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 134064 |
| Euler totient φ(n) | 32784 |
| Square | 5052935056 |
| Cube | 359182835520704 |
| Square root | 266.615828 (= 2√17771) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.1084 × |
71084 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and eighty-four |
| Binary (base 2) | 10001010110101100 |
| Octal (base 8) | 212654 |
| Hexadecimal (base 16) | 115AC |
| Base 3 | 10121111202 |
| As time | 71084 seconds = 19 h 44 min 44 s |
Is 71084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71084 ÷ 2 = 35542) | 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 | Yes (71084 ÷ 4 = 17771) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71084 a prime number?
No. 71084 = × 13 × 1367, so it is divisible by 2.
What are the factors of 71084?
1, 2, 4, 13, 26, 52, 1367, 2734, 5468, 17771, 35542, 71084.
What is 71084 in binary?
10001010110101100 (hexadecimal 115AC, octal 212654).
What is the square root of 71084?
About 266.6158, exactly 2√17771.
Is 71084 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 71084?
71084 is a happy number: repeatedly adding the squares of its digits reaches 1.