The number 83187
83187 is a composite number with 20 divisors. Its prime factorisation is × 13 × 79. Divisors (20): 1, 3, 9, 13, 27, 39, 79, 81, 117, 237, 351, 711, 1027, 1053, 2133, 3081 … 83187.
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How to work it out
- 1
What is special about 83187: a Harshad number: divisible by its digit sum 27.
- 2
83187 is composite. Its prime factorisation is
- 3
The divisors add up to 135520; without 83187 itself that is 52333, so 83187 is deficient (52333 is less than 83187). Euler's totient φ(83187) = 50544 numbers up to 83187 share no factor with it.
- 4
The digits of 83187 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 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83187 = 3^{4} \times 13 \times 79 \]83187 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 135520 |
| Euler totient φ(n) | 50544 |
| Square | 6920076969 |
| Cube | 575660442820203 |
| Square root | 288.421566 (= 9√1027) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.3187 × |
83187 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and eighty-seven |
| Binary (base 2) | 10100010011110011 |
| Octal (base 8) | 242363 |
| Hexadecimal (base 16) | 144F3 |
| Base 3 | 11020010000 |
| As time | 83187 seconds = 23 h 6 min 27 s |
Is 83187 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 (83187 ÷ 3 = 27729) | 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 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83187 ÷ 9 = 9243) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 83187 a prime number?
No. 83187 = × 13 × 79, so it is divisible by 3.
What are the factors of 83187?
1, 3, 9, 13, 27, 39, 79, 81, 117, 237, 351, 711, 1027, 1053, 2133, 3081, 6399, 9243, 27729, 83187.
What is 83187 in binary?
10100010011110011 (hexadecimal 144F3, octal 242363).
What is the square root of 83187?
About 288.4216, exactly 9√1027.
Is 83187 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83187?
83187 is a Harshad number: divisible by its digit sum 27.