The number 83168
83168 is a composite number with 24 divisors. Its prime factorisation is × 23 × 113. Divisors (24): 1, 2, 4, 8, 16, 23, 32, 46, 92, 113, 184, 226, 368, 452, 736, 904 … 83168.
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How to work it out
- 1
83168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83168 is composite. Its prime factorisation is
- 3
The divisors add up to 172368; without 83168 itself that is 89200, so 83168 is abundant (89200 is more than 83168). Euler's totient φ(83168) = 39424 numbers up to 83168 share no factor with it.
- 4
The digits of 83168 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83168 = 2^{5} \times 23 \times 113 \]83168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 172368 |
| Euler totient φ(n) | 39424 |
| Square | 6916916224 |
| Cube | 575266088517632 |
| Square root | 288.388627 (= 4√5198) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3168 × |
83168 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and sixty-eight |
| Binary (base 2) | 10100010011100000 |
| Octal (base 8) | 242340 |
| Hexadecimal (base 16) | 144E0 |
| Base 3 | 11020002022 |
| As time | 83168 seconds = 23 h 6 min 8 s |
Is 83168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83168 ÷ 2 = 41584) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83168 ÷ 4 = 20792) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (83168 ÷ 8 = 10396) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83168 a prime number?
No. 83168 = × 23 × 113, so it is divisible by 2.
What are the factors of 83168?
1, 2, 4, 8, 16, 23, 32, 46, 92, 113, 184, 226, 368, 452, 736, 904, 1808, 2599, 3616, 5198, 10396, 20792, 41584, 83168.
What is 83168 in binary?
10100010011100000 (hexadecimal 144E0, octal 242340).
What is the square root of 83168?
About 288.3886, exactly 4√5198.
Is 83168 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 83168?
It is a composite number with 24 divisors.