The number 33813
33813 is a composite number with 18 divisors. Its prime factorisation is × 13 × . Divisors (18): 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 289, 663, 867, 1989, 2601, 3757 … 33813.
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How to work it out
- 1
33813 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33813 is composite. Its prime factorisation is
- 3
The divisors add up to 55874; without 33813 itself that is 22061, so 33813 is deficient (22061 is less than 33813). Euler's totient φ(33813) = 19584 numbers up to 33813 share no factor with it.
- 4
The digits of 33813 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33813 = 3^{2} \times 13 \times 17^{2} \]33813 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 55874 |
| Euler totient φ(n) | 19584 |
| Square | 1143318969 |
| Cube | 38659044298797 |
| Square root | 183.883115 (= 51√13) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3813 × |
33813 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and thirteen |
| Binary (base 2) | 1000010000010101 |
| Octal (base 8) | 102025 |
| Hexadecimal (base 16) | 8415 |
| Base 3 | 1201101100 |
| As time | 33813 seconds = 9 h 23 min 33 s |
Is 33813 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 (33813 ÷ 3 = 11271) | 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 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 | Yes (33813 ÷ 9 = 3757) | 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 33813 a prime number?
No. 33813 = × 13 × , so it is divisible by 3.
What are the factors of 33813?
1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 289, 663, 867, 1989, 2601, 3757, 11271, 33813.
What is 33813 in binary?
1000010000010101 (hexadecimal 8415, octal 102025).
What is the square root of 33813?
About 183.8831, exactly 51√13.
Is 33813 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33813?
It is a composite number with 18 divisors.