The number 83317
83317 is a composite number with 12 divisors. Its prime factorisation is × 17 × 29. Divisors (12): 1, 13, 17, 29, 169, 221, 377, 493, 2873, 4901, 6409, 83317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83317 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83317 is composite. Its prime factorisation is
- 3
The divisors add up to 98820; without 83317 itself that is 15503, so 83317 is deficient (15503 is less than 83317). Euler's totient φ(83317) = 69888 numbers up to 83317 share no factor with it.
- 4
The digits of 83317 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83317 = 13^{2} \times 17 \times 29 \]83317 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98820 |
| Euler totient φ(n) | 69888 |
| Square | 6941722489 |
| Cube | 578363492616013 |
| Square root | 288.646843 (= 13√493) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3317 × |
83317 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and seventeen |
| Binary (base 2) | 10100010101110101 |
| Octal (base 8) | 242565 |
| Hexadecimal (base 16) | 14575 |
| Base 3 | 11020021211 |
| As time | 83317 seconds = 23 h 8 min 37 s |
Is 83317 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 1) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83317 a prime number?
No. 83317 = × 17 × 29, so it is divisible by 13.
What are the factors of 83317?
1, 13, 17, 29, 169, 221, 377, 493, 2873, 4901, 6409, 83317.
What is 83317 in binary?
10100010101110101 (hexadecimal 14575, octal 242565).
What is the square root of 83317?
About 288.6468, exactly 13√493.
Is 83317 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 83317?
It is a composite number with 12 divisors.