The number 33814
33814 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 29 × 53. Divisors (16): 1, 2, 11, 22, 29, 53, 58, 106, 319, 583, 638, 1166, 1537, 3074, 16907, 33814.
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How to work it out
- 1
33814 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33814 is composite. Its prime factorisation is
- 3
The divisors add up to 58320; without 33814 itself that is 24506, so 33814 is deficient (24506 is less than 33814). Euler's totient φ(33814) = 14560 numbers up to 33814 share no factor with it.
- 4
The digits of 33814 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33814 = 2 \times 11 \times 29 \times 53 \]
33814 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58320 |
| Euler totient φ(n) | 14560 |
| Square | 1143386596 |
| Cube | 38662474357144 |
| Square root | 183.885834 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3814 × |
33814 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and fourteen |
| Binary (base 2) | 1000010000010110 |
| Octal (base 8) | 102026 |
| Hexadecimal (base 16) | 8416 |
| Base 3 | 1201101101 |
| As time | 33814 seconds = 9 h 23 min 34 s |
Is 33814 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33814 ÷ 2 = 16907) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33814 ÷ 11 = 3074) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33814 a prime number?
No. 33814 = 2 × 11 × 29 × 53, so it is divisible by 2.
What are the factors of 33814?
1, 2, 11, 22, 29, 53, 58, 106, 319, 583, 638, 1166, 1537, 3074, 16907, 33814.
What is 33814 in binary?
1000010000010110 (hexadecimal 8416, octal 102026).
What is the square root of 33814?
About 183.8858.
Is 33814 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33814?
It is a composite number with 16 divisors.