The number 71064
71064 is a composite number with 64 divisors. Its prime factorisation is × × 7 × 47. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36 … 71064.
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How to work it out
- 1
What is special about 71064: a Harshad number: divisible by its digit sum 18.
- 2
71064 is composite. Its prime factorisation is
- 3
The divisors add up to 230400; without 71064 itself that is 159336, so 71064 is abundant (159336 is more than 71064). Euler's totient φ(71064) = 19872 numbers up to 71064 share no factor with it.
- 4
The digits of 71064 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71064 = 2^{3} \times 3^{3} \times 7 \times 47 \]71064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 230400 |
| Euler totient φ(n) | 19872 |
| Square | 5050092096 |
| Cube | 358879744710144 |
| Square root | 266.578319 (= 6√1974) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.1064 × |
71064 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and sixty-four |
| Binary (base 2) | 10001010110011000 |
| Octal (base 8) | 212630 |
| Hexadecimal (base 16) | 11598 |
| Base 3 | 10121111000 |
| As time | 71064 seconds = 19 h 44 min 24 s |
Is 71064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71064 ÷ 2 = 35532) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71064 ÷ 3 = 23688) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71064 ÷ 4 = 17766) | 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 | Yes (71064 ÷ 6 = 11844) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71064 ÷ 7 = 10152) | 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 (71064 ÷ 8 = 8883) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71064 ÷ 9 = 7896) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71064 ÷ 12 = 5922) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71064 a prime number?
No. 71064 = × × 7 × 47, so it is divisible by 2.
What are the factors of 71064?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 47, 54, 56, 63, 72, 84, 94, 108, 126, 141, 168, 188, 189, 216, 252, 282, 329, 376, 378, 423, 504, 564, 658, 756, 846, 987, 1128, 1269, 1316, 1512, 1692, 1974, 2538, 2632, 2961, 3384, 3948, 5076, 5922, 7896, 8883, 10152, 11844, 17766, 23688, 35532, 71064.
What is 71064 in binary?
10001010110011000 (hexadecimal 11598, octal 212630).
What is the square root of 71064?
About 266.5783, exactly 6√1974.
Is 71064 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71064?
71064 is a Harshad number: divisible by its digit sum 18.