The number 83135
83135 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 1279. Divisors (8): 1, 5, 13, 65, 1279, 6395, 16627, 83135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83135 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83135 is composite. Its prime factorisation is
- 3
The divisors add up to 107520; without 83135 itself that is 24385, so 83135 is deficient (24385 is less than 83135). Euler's totient φ(83135) = 61344 numbers up to 83135 share no factor with it.
- 4
The digits of 83135 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83135 = 5 \times 13 \times 1279 \]
83135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 107520 |
| Euler totient φ(n) | 61344 |
| Square | 6911428225 |
| Cube | 574581585485375 |
| Square root | 288.331407 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3135 × |
83135 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and thirty-five |
| Binary (base 2) | 10100010010111111 |
| Octal (base 8) | 242277 |
| Hexadecimal (base 16) | 144BF |
| Base 3 | 11020001002 |
| As time | 83135 seconds = 23 h 5 min 35 s |
Is 83135 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 | No (remainder 2) | 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 (83135 ÷ 5 = 16627) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83135 a prime number?
No. 83135 = 5 × 13 × 1279, so it is divisible by 5.
What are the factors of 83135?
1, 5, 13, 65, 1279, 6395, 16627, 83135.
What is 83135 in binary?
10100010010111111 (hexadecimal 144BF, octal 242277).
What is the square root of 83135?
About 288.3314.
Is 83135 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 83135?
It is a composite number with 8 divisors.