The number 71016
71016 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 269. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264 … 71016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71016 is composite. Its prime factorisation is
- 3
The divisors add up to 194400; without 71016 itself that is 123384, so 71016 is abundant (123384 is more than 71016). Euler's totient φ(71016) = 21440 numbers up to 71016 share no factor with it.
- 4
The digits of 71016 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71016 = 2^{3} \times 3 \times 11 \times 269 \]71016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 194400 |
| Euler totient φ(n) | 21440 |
| Square | 5043272256 |
| Cube | 358153022532096 |
| Square root | 266.488274 (= 2√17754) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1016 × |
71016 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and sixteen |
| Binary (base 2) | 10001010101101000 |
| Octal (base 8) | 212550 |
| Hexadecimal (base 16) | 11568 |
| Base 3 | 10121102020 |
| As time | 71016 seconds = 19 h 43 min 36 s |
Is 71016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71016 ÷ 2 = 35508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71016 ÷ 3 = 23672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71016 ÷ 4 = 17754) | 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 | Yes (71016 ÷ 6 = 11836) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (71016 ÷ 8 = 8877) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (71016 ÷ 11 = 6456) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71016 ÷ 12 = 5918) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71016 a prime number?
No. 71016 = × 3 × 11 × 269, so it is divisible by 2.
What are the factors of 71016?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 269, 538, 807, 1076, 1614, 2152, 2959, 3228, 5918, 6456, 8877, 11836, 17754, 23672, 35508, 71016.
What is 71016 in binary?
10001010101101000 (hexadecimal 11568, octal 212550).
What is the square root of 71016?
About 266.4883, exactly 2√17754.
Is 71016 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 71016?
It is a composite number with 32 divisors.