The number 83136
83136 is a composite number with 28 divisors. Its prime factorisation is × 3 × 433. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 433, 866 … 83136.
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How to work it out
- 1
83136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83136 is composite. Its prime factorisation is
- 3
The divisors add up to 220472; without 83136 itself that is 137336, so 83136 is abundant (137336 is more than 83136). Euler's totient φ(83136) = 27648 numbers up to 83136 share no factor with it.
- 4
The digits of 83136 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83136 = 2^{6} \times 3 \times 433 \]83136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 220472 |
| Euler totient φ(n) | 27648 |
| Square | 6911594496 |
| Cube | 574602320019456 |
| Square root | 288.333141 (= 8√1299) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3136 × |
83136 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and thirty-six |
| Binary (base 2) | 10100010011000000 |
| Octal (base 8) | 242300 |
| Hexadecimal (base 16) | 144C0 |
| Base 3 | 11020001010 |
| As time | 83136 seconds = 23 h 5 min 36 s |
Is 83136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83136 ÷ 2 = 41568) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83136 ÷ 3 = 27712) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83136 ÷ 4 = 20784) | 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 (83136 ÷ 6 = 13856) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (83136 ÷ 8 = 10392) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83136 ÷ 12 = 6928) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83136 a prime number?
No. 83136 = × 3 × 433, so it is divisible by 2.
What are the factors of 83136?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 433, 866, 1299, 1732, 2598, 3464, 5196, 6928, 10392, 13856, 20784, 27712, 41568, 83136.
What is 83136 in binary?
10100010011000000 (hexadecimal 144C0, octal 242300).
What is the square root of 83136?
About 288.3331, exactly 8√1299.
Is 83136 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83136?
It is a composite number with 28 divisors.