The number 83313
83313 is a composite number with 6 divisors. Its prime factorisation is × 9257. Divisors (6): 1, 3, 9, 9257, 27771, 83313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83313 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83313 is composite. Its prime factorisation is
- 3
The divisors add up to 120354; without 83313 itself that is 37041, so 83313 is deficient (37041 is less than 83313). Euler's totient φ(83313) = 55536 numbers up to 83313 share no factor with it.
- 4
The digits of 83313 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83313 = 3^{2} \times 9257 \]83313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 120354 |
| Euler totient φ(n) | 55536 |
| Square | 6941055969 |
| Cube | 578280195945297 |
| Square root | 288.639914 (= 3√9257) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3313 × |
83313 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and thirteen |
| Binary (base 2) | 10100010101110001 |
| Octal (base 8) | 242561 |
| Hexadecimal (base 16) | 14571 |
| Base 3 | 11020021200 |
| As time | 83313 seconds = 23 h 8 min 33 s |
Is 83313 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 (83313 ÷ 3 = 27771) | 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 3) | 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 | Yes (83313 ÷ 9 = 9257) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 83313 a prime number?
No. 83313 = × 9257, so it is divisible by 3.
What are the factors of 83313?
1, 3, 9, 9257, 27771, 83313.
What is 83313 in binary?
10100010101110001 (hexadecimal 14571, octal 242561).
What is the square root of 83313?
About 288.6399, exactly 3√9257.
Is 83313 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 83313?
It is a composite number with 6 divisors.