The number 33835
33835 is a composite number with 8 divisors. Its prime factorisation is 5 × 67 × 101. Divisors (8): 1, 5, 67, 101, 335, 505, 6767, 33835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33835 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33835 is composite. Its prime factorisation is
- 3
The divisors add up to 41616; without 33835 itself that is 7781, so 33835 is deficient (7781 is less than 33835). Euler's totient φ(33835) = 26400 numbers up to 33835 share no factor with it.
- 4
The digits of 33835 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33835 = 5 \times 67 \times 101 \]
33835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41616 |
| Euler totient φ(n) | 26400 |
| Square | 1144807225 |
| Cube | 38734552457875 |
| Square root | 183.942926 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3835 × |
33835 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and thirty-five |
| Binary (base 2) | 1000010000101011 |
| Octal (base 8) | 102053 |
| Hexadecimal (base 16) | 842B |
| Base 3 | 1201102011 |
| As time | 33835 seconds = 9 h 23 min 55 s |
Is 33835 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33835 ÷ 5 = 6767) | 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 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 3) | 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 5) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33835 a prime number?
No. 33835 = 5 × 67 × 101, so it is divisible by 5.
What are the factors of 33835?
1, 5, 67, 101, 335, 505, 6767, 33835.
What is 33835 in binary?
1000010000101011 (hexadecimal 842B, octal 102053).
What is the square root of 33835?
About 183.9429.
Is 33835 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33835?
It is a composite number with 8 divisors.