The number 83835
83835 is a composite number with 28 divisors. Its prime factorisation is × 5 × 23. Divisors (28): 1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 243, 345, 405 … 83835.
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How to work it out
- 1
What is special about 83835: a Harshad number: divisible by its digit sum 27.
- 2
83835 is composite. Its prime factorisation is
- 3
The divisors add up to 157392; without 83835 itself that is 73557, so 83835 is deficient (73557 is less than 83835). Euler's totient φ(83835) = 42768 numbers up to 83835 share no factor with it.
- 4
The digits of 83835 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83835 = 3^{6} \times 5 \times 23 \]83835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 157392 |
| Euler totient φ(n) | 42768 |
| Square | 7028307225 |
| Cube | 589218136207875 |
| Square root | 289.542743 (= 27√115) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.3835 × |
83835 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and thirty-five |
| Binary (base 2) | 10100011101111011 |
| Octal (base 8) | 243573 |
| Hexadecimal (base 16) | 1477B |
| Base 3 | 11021000000 |
| As time | 83835 seconds = 23 h 17 min 15 s |
Is 83835 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83835 ÷ 3 = 27945) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83835 ÷ 5 = 16767) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83835 ÷ 9 = 9315) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83835 a prime number?
No. 83835 = × 5 × 23, so it is divisible by 3.
What are the factors of 83835?
1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 243, 345, 405, 621, 729, 1035, 1215, 1863, 3105, 3645, 5589, 9315, 16767, 27945, 83835.
What is 83835 in binary?
10100011101111011 (hexadecimal 1477B, octal 243573).
What is the square root of 83835?
About 289.5427, exactly 27√115.
Is 83835 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83835?
83835 is a Harshad number: divisible by its digit sum 27.