The number 83055
83055 is a composite number with 24 divisors. Its prime factorisation is 3 × 5 × × 113. Divisors (24): 1, 3, 5, 7, 15, 21, 35, 49, 105, 113, 147, 245, 339, 565, 735, 791 … 83055.
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How to work it out
- 1
What is special about 83055: a Harshad number: divisible by its digit sum 21.
- 2
83055 is composite. Its prime factorisation is
- 3
The divisors add up to 155952; without 83055 itself that is 72897, so 83055 is deficient (72897 is less than 83055). Euler's totient φ(83055) = 37632 numbers up to 83055 share no factor with it.
- 4
The digits of 83055 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 226 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83055 = 3 \times 5 \times 7^{2} \times 113 \]83055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 155952 |
| Euler totient φ(n) | 37632 |
| Square | 6898133025 |
| Cube | 572924438391375 |
| Square root | 288.192644 (= 7√1695) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 226 |
| Scientific notation | 8.3055 × |
83055 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and fifty-five |
| Binary (base 2) | 10100010001101111 |
| Octal (base 8) | 242157 |
| Hexadecimal (base 16) | 1446F |
| Base 3 | 11012221010 |
| As time | 83055 seconds = 23 h 4 min 15 s |
Is 83055 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 (83055 ÷ 3 = 27685) | 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 (83055 ÷ 5 = 16611) | 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 | Yes (83055 ÷ 7 = 11865) | 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 7) | 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 5) | 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 83055 a prime number?
No. 83055 = 3 × 5 × × 113, so it is divisible by 3.
What are the factors of 83055?
1, 3, 5, 7, 15, 21, 35, 49, 105, 113, 147, 245, 339, 565, 735, 791, 1695, 2373, 3955, 5537, 11865, 16611, 27685, 83055.
What is 83055 in binary?
10100010001101111 (hexadecimal 1446F, octal 242157).
What is the square root of 83055?
About 288.1926, exactly 7√1695.
Is 83055 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83055?
83055 is a Harshad number: divisible by its digit sum 21.