The number 71136
71136 is a composite number with 72 divisors. Its prime factorisation is × × 13 × 19. Divisors (72): 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 19, 24, 26, 32, 36 … 71136.
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How to work it out
- 1
What is special about 71136: a Harshad number: divisible by its digit sum 18.
- 2
71136 is composite. Its prime factorisation is
- 3
The divisors add up to 229320; without 71136 itself that is 158184, so 71136 is abundant (158184 is more than 71136). Euler's totient φ(71136) = 20736 numbers up to 71136 share no factor with it.
- 4
The digits of 71136 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
\[ 71136 = 2^{5} \times 3^{2} \times 13 \times 19 \]71136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 229320 |
| Euler totient φ(n) | 20736 |
| Square | 5060330496 |
| Cube | 359971670163456 |
| Square root | 266.713329 (= 12√494) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.1136 × |
71136 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and thirty-six |
| Binary (base 2) | 10001010111100000 |
| Octal (base 8) | 212740 |
| Hexadecimal (base 16) | 115E0 |
| Base 3 | 10121120200 |
| As time | 71136 seconds = 19 h 45 min 36 s |
Is 71136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71136 ÷ 2 = 35568) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71136 ÷ 3 = 23712) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71136 ÷ 4 = 17784) | 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 (71136 ÷ 6 = 11856) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (71136 ÷ 8 = 8892) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71136 ÷ 9 = 7904) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71136 ÷ 12 = 5928) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71136 a prime number?
No. 71136 = × × 13 × 19, so it is divisible by 2.
What are the factors of 71136?
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 19, 24, 26, 32, 36, 38, 39, 48, 52, 57, 72, 76, 78, 96, 104, 114, 117, 144, 152, 156, 171, 208, 228, 234, 247, 288, 304, 312, 342, 416, 456, 468, 494, 608, 624, 684, 741, 912, 936, 988, 1248, 1368, 1482, 1824, 1872, 1976, 2223, 2736, 2964, 3744, 3952, 4446, 5472, 5928, 7904, 8892, 11856, 17784, 23712, 35568, 71136.
What is 71136 in binary?
10001010111100000 (hexadecimal 115E0, octal 212740).
What is the square root of 71136?
About 266.7133, exactly 12√494.
Is 71136 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71136?
71136 is a Harshad number: divisible by its digit sum 18.