The number 71736
71736 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 61. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 61 … 71736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71736: a Harshad number: divisible by its digit sum 24.
- 2
71736 is composite. Its prime factorisation is
- 3
The divisors add up to 212040; without 71736 itself that is 140304, so 71736 is abundant (140304 is more than 71736). Euler's totient φ(71736) = 20160 numbers up to 71736 share no factor with it.
- 4
The digits of 71736 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71736 = 2^{3} \times 3 \times 7^{2} \times 61 \]71736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 212040 |
| Euler totient φ(n) | 20160 |
| Square | 5146053696 |
| Cube | 369157307936256 |
| Square root | 267.835771 (= 14√366) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.1736 × |
71736 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand seven hundred and thirty-six |
| Binary (base 2) | 10001100000111000 |
| Octal (base 8) | 214070 |
| Hexadecimal (base 16) | 11838 |
| Base 3 | 10122101220 |
| As time | 71736 seconds = 19 h 55 min 36 s |
Is 71736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71736 ÷ 2 = 35868) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71736 ÷ 3 = 23912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71736 ÷ 4 = 17934) | 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 (71736 ÷ 6 = 11956) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71736 ÷ 7 = 10248) | 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 (71736 ÷ 8 = 8967) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71736 ÷ 12 = 5978) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71736 a prime number?
No. 71736 = × 3 × × 61, so it is divisible by 2.
What are the factors of 71736?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 61, 84, 98, 122, 147, 168, 183, 196, 244, 294, 366, 392, 427, 488, 588, 732, 854, 1176, 1281, 1464, 1708, 2562, 2989, 3416, 5124, 5978, 8967, 10248, 11956, 17934, 23912, 35868, 71736.
What is 71736 in binary?
10001100000111000 (hexadecimal 11838, octal 214070).
What is the square root of 71736?
About 267.8358, exactly 14√366.
Is 71736 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 71736?
71736 is a Harshad number: divisible by its digit sum 24.