The number 83985
83985 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 509. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 165, 509, 1527, 2545, 5599, 7635, 16797, 27995, 83985.
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How to work it out
- 1
What is special about 83985: a Harshad number: divisible by its digit sum 33.
- 2
83985 is composite. Its prime factorisation is
- 3
The divisors add up to 146880; without 83985 itself that is 62895, so 83985 is deficient (62895 is less than 83985). Euler's totient φ(83985) = 40640 numbers up to 83985 share no factor with it.
- 4
The digits of 83985 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83985 = 3 \times 5 \times 11 \times 509 \]
83985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 146880 |
| Euler totient φ(n) | 40640 |
| Square | 7053480225 |
| Cube | 592386536696625 |
| Square root | 289.801656 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3985 × |
83985 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand nine hundred and eighty-five |
| Binary (base 2) | 10100100000010001 |
| Octal (base 8) | 244021 |
| Hexadecimal (base 16) | 14811 |
| Base 3 | 11021012120 |
| As time | 83985 seconds = 23 h 19 min 45 s |
Is 83985 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 (83985 ÷ 3 = 27995) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83985 ÷ 5 = 16797) | 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 6) | 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 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (83985 ÷ 11 = 7635) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83985 a prime number?
No. 83985 = 3 × 5 × 11 × 509, so it is divisible by 3.
What are the factors of 83985?
1, 3, 5, 11, 15, 33, 55, 165, 509, 1527, 2545, 5599, 7635, 16797, 27995, 83985.
What is 83985 in binary?
10100100000010001 (hexadecimal 14811, octal 244021).
What is the square root of 83985?
About 289.8017.
Is 83985 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 83985?
83985 is a Harshad number: divisible by its digit sum 33.