The number 83736
83736 is a composite number with 24 divisors. Its prime factorisation is × × 1163. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1163, 2326, 3489, 4652 … 83736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83736: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83736 is composite. Its prime factorisation is
- 3
The divisors add up to 226980; without 83736 itself that is 143244, so 83736 is abundant (143244 is more than 83736). Euler's totient φ(83736) = 27888 numbers up to 83736 share no factor with it.
- 4
The digits of 83736 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83736 = 2^{3} \times 3^{2} \times 1163 \]83736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 226980 |
| Euler totient φ(n) | 27888 |
| Square | 7011717696 |
| Cube | 587133192992256 |
| Square root | 289.371733 (= 6√2326) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.3736 × |
83736 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and thirty-six |
| Binary (base 2) | 10100011100011000 |
| Octal (base 8) | 243430 |
| Hexadecimal (base 16) | 14718 |
| Base 3 | 11020212100 |
| As time | 83736 seconds = 23 h 15 min 36 s |
Is 83736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83736 ÷ 2 = 41868) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83736 ÷ 3 = 27912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83736 ÷ 4 = 20934) | 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 (83736 ÷ 6 = 13956) | 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 (83736 ÷ 8 = 10467) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83736 ÷ 9 = 9304) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83736 ÷ 12 = 6978) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83736 a prime number?
No. 83736 = × × 1163, so it is divisible by 2.
What are the factors of 83736?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1163, 2326, 3489, 4652, 6978, 9304, 10467, 13956, 20934, 27912, 41868, 83736.
What is 83736 in binary?
10100011100011000 (hexadecimal 14718, octal 243430).
What is the square root of 83736?
About 289.3717, exactly 6√2326.
Is 83736 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83736?
83736 is a happy number: repeatedly adding the squares of its digits reaches 1.